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Finding the Fourth Proportional to 114.20, 170.82 and 83.42

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Solution

The fourth proportional to 114.20, 170.82 and 83.42 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.20 : 170.82 = 83.42 : x
  2. Step 2: Convert to fraction form
    114.20/170.82 = 83.42/x
  3. Step 3: Cross multiply
    114.20x = 170.82 × 83.42
  4. Step 4: Simplify right side
    114.20x = 14,249.80
  5. Step 5: Solve for x
    x = 14,249.80/114.20
  6. Step 6: Final answer
    x = 124.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.