10, 12 और 15 का चतुर्थ समानुपाती ज्ञात कीजिए।

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SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 2)
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  1. 20
  2. 22
  3. 16
  4. 18

Answer (Detailed Solution Below)

Option 4 : 18
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दिया गया है:

पहली संख्या = 10

दूसरी संख्या = 12

तीसरी संख्या = 15

प्रयुक्त सूत्र:

यदि a, b, c, और d समानुपात में हैं, तो \(\frac{a}{b} = \frac{c}{d} . \)चतुर्थ समानुपाती, d = \(\frac{b \times c}{a}\)

गणना:

यहाँ, a = 10, b = 12, और c = 15.

चतुर्थ समानुपाती, d = \( \frac{b \times c}{a}\)

⇒ d = \( \frac{12 \times 15}{10}\)

⇒ d = \(\frac{180}{10}\)

⇒ d = 18

10, 12 और 15 का चतुर्थ समानुपाती 18 है।

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