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Finding the Fourth Proportional to 122.61, 184.09 and 77.14

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Solution

The fourth proportional to 122.61, 184.09 and 77.14 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.61 : 184.09 = 77.14 : x
  2. Step 2: Convert to fraction form
    122.61/184.09 = 77.14/x
  3. Step 3: Cross multiply
    122.61x = 184.09 × 77.14
  4. Step 4: Simplify right side
    122.61x = 14,200.70
  5. Step 5: Solve for x
    x = 14,200.70/122.61
  6. Step 6: Final answer
    x = 115.82

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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.