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Finding the Fourth Proportional to 122.56, 169.20 and 81.20

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Solution

The fourth proportional to 122.56, 169.20 and 81.20 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 169.20 = 81.20 : x
  2. Step 2: Convert to fraction form
    122.56/169.20 = 81.20/x
  3. Step 3: Cross multiply
    122.56x = 169.20 × 81.20
  4. Step 4: Simplify right side
    122.56x = 13,739.04
  5. Step 5: Solve for x
    x = 13,739.04/122.56
  6. Step 6: Final answer
    x = 112.10

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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.