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Finding the Fourth Proportional to 122.26, 183.46 and 50.13

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Solution

The fourth proportional to 122.26, 183.46 and 50.13 is: 75.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.26 : 183.46 = 50.13 : x
  2. Step 2: Convert to fraction form
    122.26/183.46 = 50.13/x
  3. Step 3: Cross multiply
    122.26x = 183.46 × 50.13
  4. Step 4: Simplify right side
    122.26x = 9,196.85
  5. Step 5: Solve for x
    x = 9,196.85/122.26
  6. Step 6: Final answer
    x = 75.22

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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.