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Finding the Fourth Proportional to 122.41, 183.62 and 50.28

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Solution

The fourth proportional to 122.41, 183.62 and 50.28 is: 75.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.41 : 183.62 = 50.28 : x
  2. Step 2: Convert to fraction form
    122.41/183.62 = 50.28/x
  3. Step 3: Cross multiply
    122.41x = 183.62 × 50.28
  4. Step 4: Simplify right side
    122.41x = 9,231.85
  5. Step 5: Solve for x
    x = 9,231.85/122.41
  6. Step 6: Final answer
    x = 75.42

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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.