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Finding the Fourth Proportional to 122.98, 184.50 and 41.82

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Solution

The fourth proportional to 122.98, 184.50 and 41.82 is: 62.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 184.50 = 41.82 : x
  2. Step 2: Convert to fraction form
    122.98/184.50 = 41.82/x
  3. Step 3: Cross multiply
    122.98x = 184.50 × 41.82
  4. Step 4: Simplify right side
    122.98x = 7,715.86
  5. Step 5: Solve for x
    x = 7,715.86/122.98
  6. Step 6: Final answer
    x = 62.74

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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.