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Finding the Fourth Proportional to 81.73, 112.17 and 74.78

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Solution

The fourth proportional to 81.73, 112.17 and 74.78 is: 102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 112.17 = 74.78 : x
  2. Step 2: Convert to fraction form
    81.73/112.17 = 74.78/x
  3. Step 3: Cross multiply
    81.73x = 112.17 × 74.78
  4. Step 4: Simplify right side
    81.73x = 8,388.21
  5. Step 5: Solve for x
    x = 8,388.21/81.73
  6. Step 6: Final answer
    x = 102.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.