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Finding the Fourth Proportional to 81.68, 121.96 and 75.92

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Solution

The fourth proportional to 81.68, 121.96 and 75.92 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.68 : 121.96 = 75.92 : x
  2. Step 2: Convert to fraction form
    81.68/121.96 = 75.92/x
  3. Step 3: Cross multiply
    81.68x = 121.96 × 75.92
  4. Step 4: Simplify right side
    81.68x = 9,259.20
  5. Step 5: Solve for x
    x = 9,259.20/81.68
  6. Step 6: Final answer
    x = 113.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.