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Finding the Fourth Proportional to 141.20, 194.80 and 82.96

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Solution

The fourth proportional to 141.20, 194.80 and 82.96 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.20 : 194.80 = 82.96 : x
  2. Step 2: Convert to fraction form
    141.20/194.80 = 82.96/x
  3. Step 3: Cross multiply
    141.20x = 194.80 × 82.96
  4. Step 4: Simplify right side
    141.20x = 16,160.61
  5. Step 5: Solve for x
    x = 16,160.61/141.20
  6. Step 6: Final answer
    x = 114.45

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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.