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Finding the Fourth Proportional to 122.72, 169.22 and 110.43

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Solution

The fourth proportional to 122.72, 169.22 and 110.43 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 169.22 = 110.43 : x
  2. Step 2: Convert to fraction form
    122.72/169.22 = 110.43/x
  3. Step 3: Cross multiply
    122.72x = 169.22 × 110.43
  4. Step 4: Simplify right side
    122.72x = 18,687.24
  5. Step 5: Solve for x
    x = 18,687.24/122.72
  6. Step 6: Final answer
    x = 152.28

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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.