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Finding the Fourth Proportional to 122.91, 185.27 and 115.85

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Solution

The fourth proportional to 122.91, 185.27 and 115.85 is: 174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 185.27 = 115.85 : x
  2. Step 2: Convert to fraction form
    122.91/185.27 = 115.85/x
  3. Step 3: Cross multiply
    122.91x = 185.27 × 115.85
  4. Step 4: Simplify right side
    122.91x = 21,463.41
  5. Step 5: Solve for x
    x = 21,463.41/122.91
  6. Step 6: Final answer
    x = 174.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.