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Finding the Fourth Proportional to 121.40, 167.44 and 82.52

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Solution

The fourth proportional to 121.40, 167.44 and 82.52 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.40 : 167.44 = 82.52 : x
  2. Step 2: Convert to fraction form
    121.40/167.44 = 82.52/x
  3. Step 3: Cross multiply
    121.40x = 167.44 × 82.52
  4. Step 4: Simplify right side
    121.40x = 13,817.15
  5. Step 5: Solve for x
    x = 13,817.15/121.40
  6. Step 6: Final answer
    x = 113.82

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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.