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Finding the Fourth Proportional to 96.62, 132.86 and 82.74

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Solution

The fourth proportional to 96.62, 132.86 and 82.74 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 132.86 = 82.74 : x
  2. Step 2: Convert to fraction form
    96.62/132.86 = 82.74/x
  3. Step 3: Cross multiply
    96.62x = 132.86 × 82.74
  4. Step 4: Simplify right side
    96.62x = 10,992.42
  5. Step 5: Solve for x
    x = 10,992.42/96.62
  6. Step 6: Final answer
    x = 113.78

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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.