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Finding the Fourth Proportional to 166.62, 249.73 and 75.21

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Solution

The fourth proportional to 166.62, 249.73 and 75.21 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.62 : 249.73 = 75.21 : x
  2. Step 2: Convert to fraction form
    166.62/249.73 = 75.21/x
  3. Step 3: Cross multiply
    166.62x = 249.73 × 75.21
  4. Step 4: Simplify right side
    166.62x = 18,780.57
  5. Step 5: Solve for x
    x = 18,780.57/166.62
  6. Step 6: Final answer
    x = 112.72

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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.