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Finding the Fourth Proportional to 98.92, 136.20 and 84.14

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Solution

The fourth proportional to 98.92, 136.20 and 84.14 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.92 : 136.20 = 84.14 : x
  2. Step 2: Convert to fraction form
    98.92/136.20 = 84.14/x
  3. Step 3: Cross multiply
    98.92x = 136.20 × 84.14
  4. Step 4: Simplify right side
    98.92x = 11,459.87
  5. Step 5: Solve for x
    x = 11,459.87/98.92
  6. Step 6: Final answer
    x = 115.85

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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.