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Finding the Fourth Proportional to 83.69, 125.60 and 65.43

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Solution

The fourth proportional to 83.69, 125.60 and 65.43 is: 98.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.69 : 125.60 = 65.43 : x
  2. Step 2: Convert to fraction form
    83.69/125.60 = 65.43/x
  3. Step 3: Cross multiply
    83.69x = 125.60 × 65.43
  4. Step 4: Simplify right side
    83.69x = 8,218.01
  5. Step 5: Solve for x
    x = 8,218.01/83.69
  6. Step 6: Final answer
    x = 98.20

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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.