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Finding the Fourth Proportional to 141.82, 195.72 and 83.62

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Solution

The fourth proportional to 141.82, 195.72 and 83.62 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 195.72 = 83.62 : x
  2. Step 2: Convert to fraction form
    141.82/195.72 = 83.62/x
  3. Step 3: Cross multiply
    141.82x = 195.72 × 83.62
  4. Step 4: Simplify right side
    141.82x = 16,366.11
  5. Step 5: Solve for x
    x = 16,366.11/141.82
  6. Step 6: Final answer
    x = 115.40

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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.