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Finding the Fourth Proportional to 83.43, 113.67 and 83.16

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Solution

The fourth proportional to 83.43, 113.67 and 83.16 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 113.67 = 83.16 : x
  2. Step 2: Convert to fraction form
    83.43/113.67 = 83.16/x
  3. Step 3: Cross multiply
    83.43x = 113.67 × 83.16
  4. Step 4: Simplify right side
    83.43x = 9,452.80
  5. Step 5: Solve for x
    x = 9,452.80/83.43
  6. Step 6: Final answer
    x = 113.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.