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)
To convert pounds to kilograms, we need to use the proportion 1 kilogram = 2.2 pounds.
Let's set up a proportion using this relationship:
1 kilogram / 2.2 pounds = x kilograms / 72 pounds.
Cross-multiplying, we have:
2.2pounds * x kilograms = 1kilogram * 72pounds.
Simplifying:
2.2x = 72.
Now, divide both sides of the equation by 2.2 to solve for x:
x = 72 / 2.2 = 32.7273 kilograms.
Rounded to the nearest tenth of a kilogram, 32.7 kilograms is equal to 72 pounds.