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Finding the Fourth Proportional to 83.69, 125.49 and 53.24

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Solution

The fourth proportional to 83.69, 125.49 and 53.24 is: 79.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.69 : 125.49 = 53.24 : x
  2. Step 2: Convert to fraction form
    83.69/125.49 = 53.24/x
  3. Step 3: Cross multiply
    83.69x = 125.49 × 53.24
  4. Step 4: Simplify right side
    83.69x = 6,681.09
  5. Step 5: Solve for x
    x = 6,681.09/83.69
  6. Step 6: Final answer
    x = 79.83

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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.