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Finding the Fourth Proportional to 96.73, 144.38 and 88.61

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Solution

The fourth proportional to 96.73, 144.38 and 88.61 is: 132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.73 : 144.38 = 88.61 : x
  2. Step 2: Convert to fraction form
    96.73/144.38 = 88.61/x
  3. Step 3: Cross multiply
    96.73x = 144.38 × 88.61
  4. Step 4: Simplify right side
    96.73x = 12,793.22
  5. Step 5: Solve for x
    x = 12,793.22/96.73
  6. Step 6: Final answer
    x = 132.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.