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Finding the Fourth Proportional to 83.61, 115.38 and 54.45

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Solution

The fourth proportional to 83.61, 115.38 and 54.45 is: 75.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.61 : 115.38 = 54.45 : x
  2. Step 2: Convert to fraction form
    83.61/115.38 = 54.45/x
  3. Step 3: Cross multiply
    83.61x = 115.38 × 54.45
  4. Step 4: Simplify right side
    83.61x = 6,282.44
  5. Step 5: Solve for x
    x = 6,282.44/83.61
  6. Step 6: Final answer
    x = 75.14

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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.