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Finding the Fourth Proportional to 122.46, 183.56 and 53.92

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Solution

The fourth proportional to 122.46, 183.56 and 53.92 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 183.56 = 53.92 : x
  2. Step 2: Convert to fraction form
    122.46/183.56 = 53.92/x
  3. Step 3: Cross multiply
    122.46x = 183.56 × 53.92
  4. Step 4: Simplify right side
    122.46x = 9,897.56
  5. Step 5: Solve for x
    x = 9,897.56/122.46
  6. Step 6: Final answer
    x = 80.82

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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.