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Finding the Fourth Proportional to 38.69, 57.97 and 22.63

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Solution

The fourth proportional to 38.69, 57.97 and 22.63 is: 33.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.69 : 57.97 = 22.63 : x
  2. Step 2: Convert to fraction form
    38.69/57.97 = 22.63/x
  3. Step 3: Cross multiply
    38.69x = 57.97 × 22.63
  4. Step 4: Simplify right side
    38.69x = 1,311.86
  5. Step 5: Solve for x
    x = 1,311.86/38.69
  6. Step 6: Final answer
    x = 33.91

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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.