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Finding the Fourth Proportional to 141.44, 195.26 and 83.24

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Solution

The fourth proportional to 141.44, 195.26 and 83.24 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.44 : 195.26 = 83.24 : x
  2. Step 2: Convert to fraction form
    141.44/195.26 = 83.24/x
  3. Step 3: Cross multiply
    141.44x = 195.26 × 83.24
  4. Step 4: Simplify right side
    141.44x = 16,253.44
  5. Step 5: Solve for x
    x = 16,253.44/141.44
  6. Step 6: Final answer
    x = 114.91

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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.