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Finding the Fourth Proportional to 122.57, 169.19 and 83.96

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Solution

The fourth proportional to 122.57, 169.19 and 83.96 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.57 : 169.19 = 83.96 : x
  2. Step 2: Convert to fraction form
    122.57/169.19 = 83.96/x
  3. Step 3: Cross multiply
    122.57x = 169.19 × 83.96
  4. Step 4: Simplify right side
    122.57x = 14,203.93
  5. Step 5: Solve for x
    x = 14,203.93/122.57
  6. Step 6: Final answer
    x = 115.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.