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Finding the Fourth Proportional to 96.82, 133.56 and 59.92

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Solution

The fourth proportional to 96.82, 133.56 and 59.92 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 133.56 = 59.92 : x
  2. Step 2: Convert to fraction form
    96.82/133.56 = 59.92/x
  3. Step 3: Cross multiply
    96.82x = 133.56 × 59.92
  4. Step 4: Simplify right side
    96.82x = 8,002.58
  5. Step 5: Solve for x
    x = 8,002.58/96.82
  6. Step 6: Final answer
    x = 82.66

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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.