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Finding the Fourth Proportional to 113.32, 169.89 and 65.17

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Solution

The fourth proportional to 113.32, 169.89 and 65.17 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 169.89 = 65.17 : x
  2. Step 2: Convert to fraction form
    113.32/169.89 = 65.17/x
  3. Step 3: Cross multiply
    113.32x = 169.89 × 65.17
  4. Step 4: Simplify right side
    113.32x = 11,071.73
  5. Step 5: Solve for x
    x = 11,071.73/113.32
  6. Step 6: Final answer
    x = 97.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.