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Finding the Fourth Proportional to 33.52, 46.22 and 27.76

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Solution

The fourth proportional to 33.52, 46.22 and 27.76 is: 38.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.52 : 46.22 = 27.76 : x
  2. Step 2: Convert to fraction form
    33.52/46.22 = 27.76/x
  3. Step 3: Cross multiply
    33.52x = 46.22 × 27.76
  4. Step 4: Simplify right side
    33.52x = 1,283.07
  5. Step 5: Solve for x
    x = 1,283.07/33.52
  6. Step 6: Final answer
    x = 38.28

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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.