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Finding the Fourth Proportional to 122.76, 169.38 and 81.33

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Solution

The fourth proportional to 122.76, 169.38 and 81.33 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 169.38 = 81.33 : x
  2. Step 2: Convert to fraction form
    122.76/169.38 = 81.33/x
  3. Step 3: Cross multiply
    122.76x = 169.38 × 81.33
  4. Step 4: Simplify right side
    122.76x = 13,775.68
  5. Step 5: Solve for x
    x = 13,775.68/122.76
  6. Step 6: Final answer
    x = 112.22

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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.