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Finding the Fourth Proportional to 121.93, 168.50 and 106.27

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Solution

The fourth proportional to 121.93, 168.50 and 106.27 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.93 : 168.50 = 106.27 : x
  2. Step 2: Convert to fraction form
    121.93/168.50 = 106.27/x
  3. Step 3: Cross multiply
    121.93x = 168.50 × 106.27
  4. Step 4: Simplify right side
    121.93x = 17,906.50
  5. Step 5: Solve for x
    x = 17,906.50/121.93
  6. Step 6: Final answer
    x = 146.86

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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.