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Finding the Fourth Proportional to 96.60, 133.11 and 81.90

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Solution

The fourth proportional to 96.60, 133.11 and 81.90 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 133.11 = 81.90 : x
  2. Step 2: Convert to fraction form
    96.60/133.11 = 81.90/x
  3. Step 3: Cross multiply
    96.60x = 133.11 × 81.90
  4. Step 4: Simplify right side
    96.60x = 10,901.77
  5. Step 5: Solve for x
    x = 10,901.77/96.60
  6. Step 6: Final answer
    x = 112.85

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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.