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Finding the Fourth Proportional to 121.44, 167.68 and 98.08

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Solution

The fourth proportional to 121.44, 167.68 and 98.08 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.44 : 167.68 = 98.08 : x
  2. Step 2: Convert to fraction form
    121.44/167.68 = 98.08/x
  3. Step 3: Cross multiply
    121.44x = 167.68 × 98.08
  4. Step 4: Simplify right side
    121.44x = 16,446.05
  5. Step 5: Solve for x
    x = 16,446.05/121.44
  6. Step 6: Final answer
    x = 135.43

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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.