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Finding the Fourth Proportional to 141.73, 195.59 and 82.75

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Solution

The fourth proportional to 141.73, 195.59 and 82.75 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.73 : 195.59 = 82.75 : x
  2. Step 2: Convert to fraction form
    141.73/195.59 = 82.75/x
  3. Step 3: Cross multiply
    141.73x = 195.59 × 82.75
  4. Step 4: Simplify right side
    141.73x = 16,185.07
  5. Step 5: Solve for x
    x = 16,185.07/141.73
  6. Step 6: Final answer
    x = 114.20

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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.