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Finding the Fourth Proportional to 81.92, 123.41 and 77.12

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Solution

The fourth proportional to 81.92, 123.41 and 77.12 is: 116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.92 : 123.41 = 77.12 : x
  2. Step 2: Convert to fraction form
    81.92/123.41 = 77.12/x
  3. Step 3: Cross multiply
    81.92x = 123.41 × 77.12
  4. Step 4: Simplify right side
    81.92x = 9,517.38
  5. Step 5: Solve for x
    x = 9,517.38/81.92
  6. Step 6: Final answer
    x = 116.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.