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Finding the Fourth Proportional to 121.82, 168 and 80.32

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Solution

The fourth proportional to 121.82, 168 and 80.32 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.82 : 168 = 80.32 : x
  2. Step 2: Convert to fraction form
    121.82/168 = 80.32/x
  3. Step 3: Cross multiply
    121.82x = 168 × 80.32
  4. Step 4: Simplify right side
    121.82x = 13,493.76
  5. Step 5: Solve for x
    x = 13,493.76/121.82
  6. Step 6: Final answer
    x = 110.77

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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.