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Finding the Fourth Proportional to 83.62, 115.34 and 54.54

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Solution

The fourth proportional to 83.62, 115.34 and 54.54 is: 75.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.62 : 115.34 = 54.54 : x
  2. Step 2: Convert to fraction form
    83.62/115.34 = 54.54/x
  3. Step 3: Cross multiply
    83.62x = 115.34 × 54.54
  4. Step 4: Simplify right side
    83.62x = 6,290.64
  5. Step 5: Solve for x
    x = 6,290.64/83.62
  6. Step 6: Final answer
    x = 75.23

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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.