Convert kilograms to pounds using the proportion 1 kilogram = 2.2 pounds. How many kilograms are equal to 72 pounds? Round to the nearest tenth of a kilogram.(1 point) Responses 3.27 3.27 32.7 32.7 144 144 158.4 158.4

1 answer

To convert pounds to kilograms using the proportion \(1 \text{ kilogram} = 2.2 \text{ pounds}\), we can set up the conversion as follows:

First, we can use the inverse of the proportion to convert pounds to kilograms:

\[ 1 \text{ pound} = \frac{1}{2.2} \text{ kilograms} \]

Now, let’s convert 72 pounds to kilograms:

\[ \text{Kilograms} = 72 \text{ pounds} \times \frac{1 \text{ kilogram}}{2.2 \text{ pounds}} = \frac{72}{2.2} \text{ kilograms} \]

Calculating that:

\[ \frac{72}{2.2} \approx 32.7272727273 \]

Rounding to the nearest tenth:

\[ 32.7 \text{ kilograms} \]

Therefore, 72 pounds is approximately 32.7 kilograms.