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Finding the Fourth Proportional to 121.12, 167 and 82.32

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Solution

The fourth proportional to 121.12, 167 and 82.32 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 167 = 82.32 : x
  2. Step 2: Convert to fraction form
    121.12/167 = 82.32/x
  3. Step 3: Cross multiply
    121.12x = 167 × 82.32
  4. Step 4: Simplify right side
    121.12x = 13,747.44
  5. Step 5: Solve for x
    x = 13,747.44/121.12
  6. Step 6: Final answer
    x = 113.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.