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Finding the Fourth Proportional to 38.46, 57.60 and 28.27

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Solution

The fourth proportional to 38.46, 57.60 and 28.27 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.46 : 57.60 = 28.27 : x
  2. Step 2: Convert to fraction form
    38.46/57.60 = 28.27/x
  3. Step 3: Cross multiply
    38.46x = 57.60 × 28.27
  4. Step 4: Simplify right side
    38.46x = 1,628.35
  5. Step 5: Solve for x
    x = 1,628.35/38.46
  6. Step 6: Final answer
    x = 42.34

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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.