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Finding the Fourth Proportional to 121.88, 168.26 and 75.27

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Solution

The fourth proportional to 121.88, 168.26 and 75.27 is: 103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 168.26 = 75.27 : x
  2. Step 2: Convert to fraction form
    121.88/168.26 = 75.27/x
  3. Step 3: Cross multiply
    121.88x = 168.26 × 75.27
  4. Step 4: Simplify right side
    121.88x = 12,664.93
  5. Step 5: Solve for x
    x = 12,664.93/121.88
  6. Step 6: Final answer
    x = 103.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.