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Finding the Fourth Proportional to 80.87, 112.16 and 74.04

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Solution

The fourth proportional to 80.87, 112.16 and 74.04 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.87 : 112.16 = 74.04 : x
  2. Step 2: Convert to fraction form
    80.87/112.16 = 74.04/x
  3. Step 3: Cross multiply
    80.87x = 112.16 × 74.04
  4. Step 4: Simplify right side
    80.87x = 8,304.20
  5. Step 5: Solve for x
    x = 8,304.20/80.87
  6. Step 6: Final answer
    x = 102.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.