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Finding the Fourth Proportional to 165.97, 249.02 and 74.73

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Solution

The fourth proportional to 165.97, 249.02 and 74.73 is: 112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 249.02 = 74.73 : x
  2. Step 2: Convert to fraction form
    165.97/249.02 = 74.73/x
  3. Step 3: Cross multiply
    165.97x = 249.02 × 74.73
  4. Step 4: Simplify right side
    165.97x = 18,608.89
  5. Step 5: Solve for x
    x = 18,608.89/165.97
  6. Step 6: Final answer
    x = 112.12

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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.