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Finding the Fourth Proportional to 33.56, 46.24 and 27.40

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Solution

The fourth proportional to 33.56, 46.24 and 27.40 is: 37.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.56 : 46.24 = 27.40 : x
  2. Step 2: Convert to fraction form
    33.56/46.24 = 27.40/x
  3. Step 3: Cross multiply
    33.56x = 46.24 × 27.40
  4. Step 4: Simplify right side
    33.56x = 1,266.98
  5. Step 5: Solve for x
    x = 1,266.98/33.56
  6. Step 6: Final answer
    x = 37.75

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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.