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Finding the Fourth Proportional to 122.74, 184.25 and 86.70

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Solution

The fourth proportional to 122.74, 184.25 and 86.70 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.74 : 184.25 = 86.70 : x
  2. Step 2: Convert to fraction form
    122.74/184.25 = 86.70/x
  3. Step 3: Cross multiply
    122.74x = 184.25 × 86.70
  4. Step 4: Simplify right side
    122.74x = 15,974.48
  5. Step 5: Solve for x
    x = 15,974.48/122.74
  6. Step 6: Final answer
    x = 130.15

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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.