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Finding the Fourth Proportional to 122.60, 169.10 and 81.10

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Solution

The fourth proportional to 122.60, 169.10 and 81.10 is: 111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 169.10 = 81.10 : x
  2. Step 2: Convert to fraction form
    122.60/169.10 = 81.10/x
  3. Step 3: Cross multiply
    122.60x = 169.10 × 81.10
  4. Step 4: Simplify right side
    122.60x = 13,714.01
  5. Step 5: Solve for x
    x = 13,714.01/122.60
  6. Step 6: Final answer
    x = 111.86

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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.