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Finding the Fourth Proportional to 141.46, 195.20 and 82.45

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Solution

The fourth proportional to 141.46, 195.20 and 82.45 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 195.20 = 82.45 : x
  2. Step 2: Convert to fraction form
    141.46/195.20 = 82.45/x
  3. Step 3: Cross multiply
    141.46x = 195.20 × 82.45
  4. Step 4: Simplify right side
    141.46x = 16,094.24
  5. Step 5: Solve for x
    x = 16,094.24/141.46
  6. Step 6: Final answer
    x = 113.77

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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.