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Finding the Fourth Proportional to 122.27, 168.93 and 85.55

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Solution

The fourth proportional to 122.27, 168.93 and 85.55 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.27 : 168.93 = 85.55 : x
  2. Step 2: Convert to fraction form
    122.27/168.93 = 85.55/x
  3. Step 3: Cross multiply
    122.27x = 168.93 × 85.55
  4. Step 4: Simplify right side
    122.27x = 14,451.12
  5. Step 5: Solve for x
    x = 14,451.12/122.27
  6. Step 6: Final answer
    x = 118.20

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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.