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Finding the Fourth Proportional to 121.60, 167.82 and 82.84

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Solution

The fourth proportional to 121.60, 167.82 and 82.84 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.82 = 82.84 : x
  2. Step 2: Convert to fraction form
    121.60/167.82 = 82.84/x
  3. Step 3: Cross multiply
    121.60x = 167.82 × 82.84
  4. Step 4: Simplify right side
    121.60x = 13,902.21
  5. Step 5: Solve for x
    x = 13,902.21/121.60
  6. Step 6: Final answer
    x = 114.33

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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.