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Finding the Fourth Proportional to 122.76, 184.14 and 41.61

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Solution

The fourth proportional to 122.76, 184.14 and 41.61 is: 62.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 184.14 = 41.61 : x
  2. Step 2: Convert to fraction form
    122.76/184.14 = 41.61/x
  3. Step 3: Cross multiply
    122.76x = 184.14 × 41.61
  4. Step 4: Simplify right side
    122.76x = 7,662.07
  5. Step 5: Solve for x
    x = 7,662.07/122.76
  6. Step 6: Final answer
    x = 62.42

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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.