Harlen Pritchard

2021-08-15

To use the concept of proportion to make the given conversion.
Given information: To convert 146.4 ounces to pounds.

### Answer & Explanation

mhalmantus

Calculation:
As we know that from the definition, a mathematical equation signifying equality of two ratios is called a proportion. Proportion is used when three quantities are known and fourth quantity is unknown. We can use equality of two ratios for finding the fourth unknown quantity. For example: $\frac{a}{b}=\frac{c}{d}$ is a proportion.
As we know that 1 pounds $=16$ ounces.
So, we can write in the form of ratio as .
Let us suppose x pounds $=146.4$ ounces
So, we can write in the form of ratio as
As per the definition of proportion both ratio should be equal. i.e.

Applying cross multiplication.
$16×x=146.4×1$
$⇒16x=146.4$
$⇒\frac{16x}{16}=\frac{146.4}{16}$ [Divide both sides by 16]
$⇒x=9.15$ pounds
Hence, we can say that 9.15 pounds $=146.4$ ounces.

Jeffrey Jordon