Questions: View Lab A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:

View Lab

A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:
Transcript text: View Lab A bowling ball weighs 15 pounds on Earth and weighs 4 pounds on the planet Saturn. You could determine a 100pound earthling's weight on Saturn using the proportion:
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Solution

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Solution Steps

Step 1: Understand the Proportion

To solve this problem, we need to understand the relationship between the weights of objects on Earth and Saturn. We are given that a bowling ball weighs 15 pounds on Earth and 4 pounds on Saturn. This gives us a proportion that relates Earth weight to Saturn weight.

Step 2: Set Up the Proportion

The proportion can be set up as follows:

Weight on SaturnWeight on Earth=415 \frac{\text{Weight on Saturn}}{\text{Weight on Earth}} = \frac{4}{15}

We want to find the weight of a 100-pound earthling on Saturn. Let x x be the weight of the earthling on Saturn. The proportion becomes:

x100=415 \frac{x}{100} = \frac{4}{15}

Step 3: Solve the Proportion

To find x x , we cross-multiply and solve for x x :

x15=4100 x \cdot 15 = 4 \cdot 100

15x=400 15x = 400

x=40015 x = \frac{400}{15}

x26.6667 x \approx 26.6667

Final Answer

The weight of a 100-pound earthling on Saturn is approximately 26.67\boxed{26.67} pounds.

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