What is the fourth proportional to 24, 120 an | vedclass

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(A) Let the fourth proportional be $d$.According to the definition of proportion,for four numbers $a, b, c, d$ to be in proportion,the ratio of the fi

Vedclass · Accepted Answer

$110$

Vedclass · Answer

(A) Let the fourth proportional be $d$.According to the definition of proportion,for four numbers $a, b, c, d$ to be in proportion,the ratio of the first two must equal the ratio of the last two: $a : b :: c : d$.Substituting the given values: $24 : 120 :: 22 : d$.This can be written as the equation: $\frac{24}{120} = \frac{22}{d}$.Simplifying the fraction on the left side: $\frac{1}{5} = \frac{22}{d}$.Cross-multiplying to solve for $d$: $d = 22 	imes 5 = 110$.Therefore,the fourth proportional is $110$.

What is the fourth proportional to $24, 120$ and $22$?

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