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Finding the Fourth Proportional to 80.29, 110.72 and 59.54

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Solution

The fourth proportional to 80.29, 110.72 and 59.54 is: 82.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.29 : 110.72 = 59.54 : x
  2. Step 2: Convert to fraction form
    80.29/110.72 = 59.54/x
  3. Step 3: Cross multiply
    80.29x = 110.72 × 59.54
  4. Step 4: Simplify right side
    80.29x = 6,591.53
  5. Step 5: Solve for x
    x = 6,591.53/80.29
  6. Step 6: Final answer
    x = 82.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.