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Finding the Fourth Proportional to 169.72, 254.49 and 83

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Solution

The fourth proportional to 169.72, 254.49 and 83 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.72 : 254.49 = 83 : x
  2. Step 2: Convert to fraction form
    169.72/254.49 = 83/x
  3. Step 3: Cross multiply
    169.72x = 254.49 × 83
  4. Step 4: Simplify right side
    169.72x = 21,122.67
  5. Step 5: Solve for x
    x = 21,122.67/169.72
  6. Step 6: Final answer
    x = 124.46

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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.