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Finding the Fourth Proportional to 83.45, 115.21 and 52.38

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Solution

The fourth proportional to 83.45, 115.21 and 52.38 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.45 : 115.21 = 52.38 : x
  2. Step 2: Convert to fraction form
    83.45/115.21 = 52.38/x
  3. Step 3: Cross multiply
    83.45x = 115.21 × 52.38
  4. Step 4: Simplify right side
    83.45x = 6,034.57
  5. Step 5: Solve for x
    x = 6,034.57/83.45
  6. Step 6: Final answer
    x = 72.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.