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Finding the Fourth Proportional to 121.45, 167.66 and 82.13

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Solution

The fourth proportional to 121.45, 167.66 and 82.13 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.45 : 167.66 = 82.13 : x
  2. Step 2: Convert to fraction form
    121.45/167.66 = 82.13/x
  3. Step 3: Cross multiply
    121.45x = 167.66 × 82.13
  4. Step 4: Simplify right side
    121.45x = 13,769.92
  5. Step 5: Solve for x
    x = 13,769.92/121.45
  6. Step 6: Final answer
    x = 113.38

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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.