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Finding the Fourth Proportional to 121.92, 168.24 and 80.48

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Solution

The fourth proportional to 121.92, 168.24 and 80.48 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 168.24 = 80.48 : x
  2. Step 2: Convert to fraction form
    121.92/168.24 = 80.48/x
  3. Step 3: Cross multiply
    121.92x = 168.24 × 80.48
  4. Step 4: Simplify right side
    121.92x = 13,539.96
  5. Step 5: Solve for x
    x = 13,539.96/121.92
  6. Step 6: Final answer
    x = 111.06

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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.