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Finding the Fourth Proportional to 81.14, 122.33 and 75.92

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Solution

The fourth proportional to 81.14, 122.33 and 75.92 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.14 : 122.33 = 75.92 : x
  2. Step 2: Convert to fraction form
    81.14/122.33 = 75.92/x
  3. Step 3: Cross multiply
    81.14x = 122.33 × 75.92
  4. Step 4: Simplify right side
    81.14x = 9,287.29
  5. Step 5: Solve for x
    x = 9,287.29/81.14
  6. Step 6: Final answer
    x = 114.46

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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.