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Finding the Fourth Proportional to 122.76, 169.42 and 78.54

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Solution

The fourth proportional to 122.76, 169.42 and 78.54 is: 108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 169.42 = 78.54 : x
  2. Step 2: Convert to fraction form
    122.76/169.42 = 78.54/x
  3. Step 3: Cross multiply
    122.76x = 169.42 × 78.54
  4. Step 4: Simplify right side
    122.76x = 13,306.25
  5. Step 5: Solve for x
    x = 13,306.25/122.76
  6. Step 6: Final answer
    x = 108.39

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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.