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Finding the Fourth Proportional to 33.32, 46.01 and 27.78

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Solution

The fourth proportional to 33.32, 46.01 and 27.78 is: 38.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.32 : 46.01 = 27.78 : x
  2. Step 2: Convert to fraction form
    33.32/46.01 = 27.78/x
  3. Step 3: Cross multiply
    33.32x = 46.01 × 27.78
  4. Step 4: Simplify right side
    33.32x = 1,278.16
  5. Step 5: Solve for x
    x = 1,278.16/33.32
  6. Step 6: Final answer
    x = 38.36

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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.