Question

Solve the proportion: 144/a = 9/4
a=?
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Answer 1

The solution to the proportion 144/a = 9/4a is found by cross-multiplication and simplification, resulting in the value of a being 64.

Step-by-step explanation:

To solve the proportion
`\( (144)/(a) = (9)/(4) \)` , you can use the cross-multiplication method. Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.

`\[ 144 * 4 = 9 * a \]`

Simplifying both sides:

`\[ 576 = 9a \]`

Now, isolate
`\( a \)` by dividing both sides by 9:

`\[ a = (576)/(9) \]`

`\[ a = 64 \]`

Therefore, the solution to the proportion is
`\( a = 64 \)`. This means that
`\( a \)` has a value of 64 that satisfies the given proportion. Cross-multiplication is a useful method for solving proportions, providing a straightforward way to find the unknown variable.

Answer 2

Step-by-step explanation:

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