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Finding the Fourth Proportional to 122.54, 169.02 and 78.86

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Solution

The fourth proportional to 122.54, 169.02 and 78.86 is: 108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 169.02 = 78.86 : x
  2. Step 2: Convert to fraction form
    122.54/169.02 = 78.86/x
  3. Step 3: Cross multiply
    122.54x = 169.02 × 78.86
  4. Step 4: Simplify right side
    122.54x = 13,329.34
  5. Step 5: Solve for x
    x = 13,329.34/122.54
  6. Step 6: Final answer
    x = 108.78

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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.