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Finding the Fourth Proportional to 122.64, 169.14 and 81.16

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Solution

The fourth proportional to 122.64, 169.14 and 81.16 is: 111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 169.14 = 81.16 : x
  2. Step 2: Convert to fraction form
    122.64/169.14 = 81.16/x
  3. Step 3: Cross multiply
    122.64x = 169.14 × 81.16
  4. Step 4: Simplify right side
    122.64x = 13,727.40
  5. Step 5: Solve for x
    x = 13,727.40/122.64
  6. Step 6: Final answer
    x = 111.93

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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.