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Finding the Fourth Proportional to 131.89, 198.03 and 83.44

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Solution

The fourth proportional to 131.89, 198.03 and 83.44 is: 125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 198.03 = 83.44 : x
  2. Step 2: Convert to fraction form
    131.89/198.03 = 83.44/x
  3. Step 3: Cross multiply
    131.89x = 198.03 × 83.44
  4. Step 4: Simplify right side
    131.89x = 16,523.62
  5. Step 5: Solve for x
    x = 16,523.62/131.89
  6. Step 6: Final answer
    x = 125.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.