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Finding the Fourth Proportional to 122.66, 169.26 and 73.57

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Solution

The fourth proportional to 122.66, 169.26 and 73.57 is: 101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.66 : 169.26 = 73.57 : x
  2. Step 2: Convert to fraction form
    122.66/169.26 = 73.57/x
  3. Step 3: Cross multiply
    122.66x = 169.26 × 73.57
  4. Step 4: Simplify right side
    122.66x = 12,451.61
  5. Step 5: Solve for x
    x = 12,451.61/122.66
  6. Step 6: Final answer
    x = 101.51

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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.