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Finding the Fourth Proportional to 122.82, 169.26 and 109.41

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Solution

The fourth proportional to 122.82, 169.26 and 109.41 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.82 : 169.26 = 109.41 : x
  2. Step 2: Convert to fraction form
    122.82/169.26 = 109.41/x
  3. Step 3: Cross multiply
    122.82x = 169.26 × 109.41
  4. Step 4: Simplify right side
    122.82x = 18,518.74
  5. Step 5: Solve for x
    x = 18,518.74/122.82
  6. Step 6: Final answer
    x = 150.78

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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.