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Finding the Fourth Proportional to 123.22, 171.13 and 121.24

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Solution

The fourth proportional to 123.22, 171.13 and 121.24 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 171.13 = 121.24 : x
  2. Step 2: Convert to fraction form
    123.22/171.13 = 121.24/x
  3. Step 3: Cross multiply
    123.22x = 171.13 × 121.24
  4. Step 4: Simplify right side
    123.22x = 20,747.80
  5. Step 5: Solve for x
    x = 20,747.80/123.22
  6. Step 6: Final answer
    x = 168.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.