Question

Find the value of x in the proportion 12 : x :: 20 : 75.

Answer 1

Answer:

45 is answer

Step-by-step explanation:

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Answer 2

Answer :

$\bullet$ The value of x in the proportion is 45.

Given :

• $\bf \: 12 : x : \: : 20 : 75$

To Find :

• The value of x.

Calculation :

As we know that,

• $\boxed{ \tt{Product \: of \: extremes = Product \: of \: means}}$

$\dag$ Putting the values,

Transposing ratio x : 20 to L.H.S and ratio 12 : 75 to R.H.S,

$: \implies \bf x \times 20 = 12 \times 75$

Arranging the terms,

$: \implies \bf x = \dfrac{12 \times 75}{20}$

On multiplying, [12 × 75]

$: \implies \bf x = \cancel\dfrac{900}{20}$

On performing division,

$: \implies \boxed{\bf x = 45} \: \blue{ \bigstar}$

Therefore,

• The value of x is 45.

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Note :

• L.H.S means left hand side

• R.H.S means right hand side