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Finding the Fourth Proportional to 141.20, 194.62 and 97.44

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Solution

The fourth proportional to 141.20, 194.62 and 97.44 is: 134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.20 : 194.62 = 97.44 : x
  2. Step 2: Convert to fraction form
    141.20/194.62 = 97.44/x
  3. Step 3: Cross multiply
    141.20x = 194.62 × 97.44
  4. Step 4: Simplify right side
    141.20x = 18,963.77
  5. Step 5: Solve for x
    x = 18,963.77/141.20
  6. Step 6: Final answer
    x = 134.30

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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.