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Finding the Fourth Proportional to 122.69, 184.11 and 61.83

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Solution

The fourth proportional to 122.69, 184.11 and 61.83 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.69 : 184.11 = 61.83 : x
  2. Step 2: Convert to fraction form
    122.69/184.11 = 61.83/x
  3. Step 3: Cross multiply
    122.69x = 184.11 × 61.83
  4. Step 4: Simplify right side
    122.69x = 11,383.52
  5. Step 5: Solve for x
    x = 11,383.52/122.69
  6. Step 6: Final answer
    x = 92.78

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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.