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Finding the Fourth Proportional to 121.56, 167.84 and 82.23

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Solution

The fourth proportional to 121.56, 167.84 and 82.23 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.56 : 167.84 = 82.23 : x
  2. Step 2: Convert to fraction form
    121.56/167.84 = 82.23/x
  3. Step 3: Cross multiply
    121.56x = 167.84 × 82.23
  4. Step 4: Simplify right side
    121.56x = 13,801.48
  5. Step 5: Solve for x
    x = 13,801.48/121.56
  6. Step 6: Final answer
    x = 113.54

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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.