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Finding the Fourth Proportional to 141.54, 195.32 and 82.51

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Solution

The fourth proportional to 141.54, 195.32 and 82.51 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 195.32 = 82.51 : x
  2. Step 2: Convert to fraction form
    141.54/195.32 = 82.51/x
  3. Step 3: Cross multiply
    141.54x = 195.32 × 82.51
  4. Step 4: Simplify right side
    141.54x = 16,114.95
  5. Step 5: Solve for x
    x = 16,114.95/141.54
  6. Step 6: Final answer
    x = 113.85

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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.