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Finding the Fourth Proportional to 98.71, 136.22 and 61.87

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Solution

The fourth proportional to 98.71, 136.22 and 61.87 is: 85.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.71 : 136.22 = 61.87 : x
  2. Step 2: Convert to fraction form
    98.71/136.22 = 61.87/x
  3. Step 3: Cross multiply
    98.71x = 136.22 × 61.87
  4. Step 4: Simplify right side
    98.71x = 8,427.93
  5. Step 5: Solve for x
    x = 8,427.93/98.71
  6. Step 6: Final answer
    x = 85.38

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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.