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Finding the Fourth Proportional to 122.80, 184.12 and 41.63

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Solution

The fourth proportional to 122.80, 184.12 and 41.63 is: 62.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.80 : 184.12 = 41.63 : x
  2. Step 2: Convert to fraction form
    122.80/184.12 = 41.63/x
  3. Step 3: Cross multiply
    122.80x = 184.12 × 41.63
  4. Step 4: Simplify right side
    122.80x = 7,664.92
  5. Step 5: Solve for x
    x = 7,664.92/122.80
  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.