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Finding the Fourth Proportional to 122.64, 169.05 and 81.19

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Solution

The fourth proportional to 122.64, 169.05 and 81.19 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 169.05 = 81.19 : x
  2. Step 2: Convert to fraction form
    122.64/169.05 = 81.19/x
  3. Step 3: Cross multiply
    122.64x = 169.05 × 81.19
  4. Step 4: Simplify right side
    122.64x = 13,725.17
  5. Step 5: Solve for x
    x = 13,725.17/122.64
  6. Step 6: Final answer
    x = 111.91

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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.