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Finding the Fourth Proportional to 141.55, 195.30 and 82.53

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Solution

The fourth proportional to 141.55, 195.30 and 82.53 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.55 : 195.30 = 82.53 : x
  2. Step 2: Convert to fraction form
    141.55/195.30 = 82.53/x
  3. Step 3: Cross multiply
    141.55x = 195.30 × 82.53
  4. Step 4: Simplify right side
    141.55x = 16,118.11
  5. Step 5: Solve for x
    x = 16,118.11/141.55
  6. Step 6: Final answer
    x = 113.87

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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.