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Finding the Fourth Proportional to 122.80, 169.20 and 115.84

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Solution

The fourth proportional to 122.80, 169.20 and 115.84 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.80 : 169.20 = 115.84 : x
  2. Step 2: Convert to fraction form
    122.80/169.20 = 115.84/x
  3. Step 3: Cross multiply
    122.80x = 169.20 × 115.84
  4. Step 4: Simplify right side
    122.80x = 19,600.13
  5. Step 5: Solve for x
    x = 19,600.13/122.80
  6. Step 6: Final answer
    x = 159.61

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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.