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Finding the Fourth Proportional to 97.87, 135.11 and 71.71

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Solution

The fourth proportional to 97.87, 135.11 and 71.71 is: 98.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.87 : 135.11 = 71.71 : x
  2. Step 2: Convert to fraction form
    97.87/135.11 = 71.71/x
  3. Step 3: Cross multiply
    97.87x = 135.11 × 71.71
  4. Step 4: Simplify right side
    97.87x = 9,687.70
  5. Step 5: Solve for x
    x = 9,687.70/97.87
  6. Step 6: Final answer
    x = 98.99

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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.