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Finding the Fourth Proportional to 122.67, 184.16 and 76.86

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Solution

The fourth proportional to 122.67, 184.16 and 76.86 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 184.16 = 76.86 : x
  2. Step 2: Convert to fraction form
    122.67/184.16 = 76.86/x
  3. Step 3: Cross multiply
    122.67x = 184.16 × 76.86
  4. Step 4: Simplify right side
    122.67x = 14,154.73
  5. Step 5: Solve for x
    x = 14,154.73/122.67
  6. Step 6: Final answer
    x = 115.39

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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.