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Finding the Fourth Proportional to 33.64, 46.44 and 28.78

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Solution

The fourth proportional to 33.64, 46.44 and 28.78 is: 39.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 46.44 = 28.78 : x
  2. Step 2: Convert to fraction form
    33.64/46.44 = 28.78/x
  3. Step 3: Cross multiply
    33.64x = 46.44 × 28.78
  4. Step 4: Simplify right side
    33.64x = 1,336.54
  5. Step 5: Solve for x
    x = 1,336.54/33.64
  6. Step 6: Final answer
    x = 39.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.