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Finding the Fourth Proportional to 31.14, 46.68 and 9.75

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Solution

The fourth proportional to 31.14, 46.68 and 9.75 is: 14.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.14 : 46.68 = 9.75 : x
  2. Step 2: Convert to fraction form
    31.14/46.68 = 9.75/x
  3. Step 3: Cross multiply
    31.14x = 46.68 × 9.75
  4. Step 4: Simplify right side
    31.14x = 455.13
  5. Step 5: Solve for x
    x = 455.13/31.14
  6. Step 6: Final answer
    x = 14.62

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