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Finding the Fourth Proportional to 122.86, 184.24 and 49.73

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Solution

The fourth proportional to 122.86, 184.24 and 49.73 is: 74.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 184.24 = 49.73 : x
  2. Step 2: Convert to fraction form
    122.86/184.24 = 49.73/x
  3. Step 3: Cross multiply
    122.86x = 184.24 × 49.73
  4. Step 4: Simplify right side
    122.86x = 9,162.59
  5. Step 5: Solve for x
    x = 9,162.59/122.86
  6. Step 6: Final answer
    x = 74.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.