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Finding the Fourth Proportional to 98.87, 136.49 and 72.71

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Solution

The fourth proportional to 98.87, 136.49 and 72.71 is: 100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.87 : 136.49 = 72.71 : x
  2. Step 2: Convert to fraction form
    98.87/136.49 = 72.71/x
  3. Step 3: Cross multiply
    98.87x = 136.49 × 72.71
  4. Step 4: Simplify right side
    98.87x = 9,923.14
  5. Step 5: Solve for x
    x = 9,923.14/98.87
  6. Step 6: Final answer
    x = 100.37

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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.