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Finding the Fourth Proportional to 141.64, 195.46 and 83.42

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Solution

The fourth proportional to 141.64, 195.46 and 83.42 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 195.46 = 83.42 : x
  2. Step 2: Convert to fraction form
    141.64/195.46 = 83.42/x
  3. Step 3: Cross multiply
    141.64x = 195.46 × 83.42
  4. Step 4: Simplify right side
    141.64x = 16,305.27
  5. Step 5: Solve for x
    x = 16,305.27/141.64
  6. Step 6: Final answer
    x = 115.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.