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Finding the Fourth Proportional to 122.82, 169.44 and 93.66

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Solution

The fourth proportional to 122.82, 169.44 and 93.66 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.82 : 169.44 = 93.66 : x
  2. Step 2: Convert to fraction form
    122.82/169.44 = 93.66/x
  3. Step 3: Cross multiply
    122.82x = 169.44 × 93.66
  4. Step 4: Simplify right side
    122.82x = 15,869.75
  5. Step 5: Solve for x
    x = 15,869.75/122.82
  6. Step 6: Final answer
    x = 129.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.