First step up a proprotion.
[tex]\frac{x}{54} = \frac{4}{9}[/tex]
Next, cross multiply. Cross multiplying is [tex]\frac{a}{b} = \frac{c}{d}[/tex] ⇒ ad = bc
So, after cross multiplying we get:
[tex]54\times 4 = 9 \times x[/tex]
Simplify both sides:
[tex]216 = 9x[/tex]
Divide both sides by 9:
[tex]\frac{9x}{9} = \frac{216}{9}[/tex]
[tex]\boxed{\bf{x = 24}}[/tex]
So your answer is D. 24 inches.
