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Finding the Fourth Proportional to 118.62, 163.84 and 96.86

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Solution

The fourth proportional to 118.62, 163.84 and 96.86 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.62 : 163.84 = 96.86 : x
  2. Step 2: Convert to fraction form
    118.62/163.84 = 96.86/x
  3. Step 3: Cross multiply
    118.62x = 163.84 × 96.86
  4. Step 4: Simplify right side
    118.62x = 15,869.54
  5. Step 5: Solve for x
    x = 15,869.54/118.62
  6. Step 6: Final answer
    x = 133.78

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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.