The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36. What is the value of A?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 22
  2. 24
  3. 26
  4. 20

Answer (Detailed Solution Below)

Option 2 : 24
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

Numbers = 12, 24 and 27

Calculation:

Forth proportions 12, 24 and 27 is n,

⇒ 12 : 24 :: 27 : n 

⇒ 12/24 = 27/n

⇒ n = 54

Then,

Third proportional to A and 36 is 54.

⇒ A : 36 = 36 : 54

⇒ 54A = 362

⇒ A = 24

∴ The value of A is 24.

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