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Finding the Fourth Proportional to 122.73, 169.43 and 78.53

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Solution

The fourth proportional to 122.73, 169.43 and 78.53 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 169.43 = 78.53 : x
  2. Step 2: Convert to fraction form
    122.73/169.43 = 78.53/x
  3. Step 3: Cross multiply
    122.73x = 169.43 × 78.53
  4. Step 4: Simplify right side
    122.73x = 13,304.95
  5. Step 5: Solve for x
    x = 13,304.95/122.73
  6. Step 6: Final answer
    x = 108.41

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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.