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Finding the Fourth Proportional to 38.05, 57.17 and 22.84

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Solution

The fourth proportional to 38.05, 57.17 and 22.84 is: 34.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 57.17 = 22.84 : x
  2. Step 2: Convert to fraction form
    38.05/57.17 = 22.84/x
  3. Step 3: Cross multiply
    38.05x = 57.17 × 22.84
  4. Step 4: Simplify right side
    38.05x = 1,305.76
  5. Step 5: Solve for x
    x = 1,305.76/38.05
  6. Step 6: Final answer
    x = 34.32

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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.