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Finding the Fourth Proportional to 36.27, 54.11 and 34.55

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Solution

The fourth proportional to 36.27, 54.11 and 34.55 is: 51.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.27 : 54.11 = 34.55 : x
  2. Step 2: Convert to fraction form
    36.27/54.11 = 34.55/x
  3. Step 3: Cross multiply
    36.27x = 54.11 × 34.55
  4. Step 4: Simplify right side
    36.27x = 1,869.14
  5. Step 5: Solve for x
    x = 1,869.14/36.27
  6. Step 6: Final answer
    x = 51.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.