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Finding the Fourth Proportional to 122.32, 183.48 and 36.82

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Solution

The fourth proportional to 122.32, 183.48 and 36.82 is: 55.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 183.48 = 36.82 : x
  2. Step 2: Convert to fraction form
    122.32/183.48 = 36.82/x
  3. Step 3: Cross multiply
    122.32x = 183.48 × 36.82
  4. Step 4: Simplify right side
    122.32x = 6,755.73
  5. Step 5: Solve for x
    x = 6,755.73/122.32
  6. Step 6: Final answer
    x = 55.23

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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.