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Finding the Fourth Proportional to 98.62, 136.14 and 61.29

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Solution

The fourth proportional to 98.62, 136.14 and 61.29 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.62 : 136.14 = 61.29 : x
  2. Step 2: Convert to fraction form
    98.62/136.14 = 61.29/x
  3. Step 3: Cross multiply
    98.62x = 136.14 × 61.29
  4. Step 4: Simplify right side
    98.62x = 8,344.02
  5. Step 5: Solve for x
    x = 8,344.02/98.62
  6. Step 6: Final answer
    x = 84.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.