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Finding the Fourth Proportional to 38.13, 57.23 and 36.24

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Solution

The fourth proportional to 38.13, 57.23 and 36.24 is: 54.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 57.23 = 36.24 : x
  2. Step 2: Convert to fraction form
    38.13/57.23 = 36.24/x
  3. Step 3: Cross multiply
    38.13x = 57.23 × 36.24
  4. Step 4: Simplify right side
    38.13x = 2,074.02
  5. Step 5: Solve for x
    x = 2,074.02/38.13
  6. Step 6: Final answer
    x = 54.39

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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.