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Finding the Fourth Proportional to 33.20, 45.71 and 27.03

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Solution

The fourth proportional to 33.20, 45.71 and 27.03 is: 37.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.20 : 45.71 = 27.03 : x
  2. Step 2: Convert to fraction form
    33.20/45.71 = 27.03/x
  3. Step 3: Cross multiply
    33.20x = 45.71 × 27.03
  4. Step 4: Simplify right side
    33.20x = 1,235.41
  5. Step 5: Solve for x
    x = 1,235.41/33.20
  6. Step 6: Final answer
    x = 37.22

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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.