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Finding the Fourth Proportional to 83.54, 125.42 and 53.17

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Solution

The fourth proportional to 83.54, 125.42 and 53.17 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.54 : 125.42 = 53.17 : x
  2. Step 2: Convert to fraction form
    83.54/125.42 = 53.17/x
  3. Step 3: Cross multiply
    83.54x = 125.42 × 53.17
  4. Step 4: Simplify right side
    83.54x = 6,668.00
  5. Step 5: Solve for x
    x = 6,668.00/83.54
  6. Step 6: Final answer
    x = 79.82

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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.