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Finding the Fourth Proportional to 122.50, 183.48 and 111.97

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Solution

The fourth proportional to 122.50, 183.48 and 111.97 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 183.48 = 111.97 : x
  2. Step 2: Convert to fraction form
    122.50/183.48 = 111.97/x
  3. Step 3: Cross multiply
    122.50x = 183.48 × 111.97
  4. Step 4: Simplify right side
    122.50x = 20,544.26
  5. Step 5: Solve for x
    x = 20,544.26/122.50
  6. Step 6: Final answer
    x = 167.71

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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.