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Finding the Fourth Proportional to 83.14, 124.68 and 31.78

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Solution

The fourth proportional to 83.14, 124.68 and 31.78 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 124.68 = 31.78 : x
  2. Step 2: Convert to fraction form
    83.14/124.68 = 31.78/x
  3. Step 3: Cross multiply
    83.14x = 124.68 × 31.78
  4. Step 4: Simplify right side
    83.14x = 3,962.33
  5. Step 5: Solve for x
    x = 3,962.33/83.14
  6. Step 6: Final answer
    x = 47.66

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