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Finding the Fourth Proportional to 104.27, 155.97 and 98.12

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Solution

The fourth proportional to 104.27, 155.97 and 98.12 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.27 : 155.97 = 98.12 : x
  2. Step 2: Convert to fraction form
    104.27/155.97 = 98.12/x
  3. Step 3: Cross multiply
    104.27x = 155.97 × 98.12
  4. Step 4: Simplify right side
    104.27x = 15,304.17
  5. Step 5: Solve for x
    x = 15,304.17/104.27
  6. Step 6: Final answer
    x = 146.78

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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.