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Finding the Fourth Proportional to 141.83, 195.71 and 82.80

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Solution

The fourth proportional to 141.83, 195.71 and 82.80 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.83 : 195.71 = 82.80 : x
  2. Step 2: Convert to fraction form
    141.83/195.71 = 82.80/x
  3. Step 3: Cross multiply
    141.83x = 195.71 × 82.80
  4. Step 4: Simplify right side
    141.83x = 16,204.79
  5. Step 5: Solve for x
    x = 16,204.79/141.83
  6. Step 6: Final answer
    x = 114.26

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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.