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Finding the Fourth Proportional to 169.66, 254.38 and 82.97

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Solution

The fourth proportional to 169.66, 254.38 and 82.97 is: 124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.66 : 254.38 = 82.97 : x
  2. Step 2: Convert to fraction form
    169.66/254.38 = 82.97/x
  3. Step 3: Cross multiply
    169.66x = 254.38 × 82.97
  4. Step 4: Simplify right side
    169.66x = 21,105.91
  5. Step 5: Solve for x
    x = 21,105.91/169.66
  6. Step 6: Final answer
    x = 124.40

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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.