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Finding the Fourth Proportional to 33.27, 45.84 and 27.09

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Solution

The fourth proportional to 33.27, 45.84 and 27.09 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.27 : 45.84 = 27.09 : x
  2. Step 2: Convert to fraction form
    33.27/45.84 = 27.09/x
  3. Step 3: Cross multiply
    33.27x = 45.84 × 27.09
  4. Step 4: Simplify right side
    33.27x = 1,241.81
  5. Step 5: Solve for x
    x = 1,241.81/33.27
  6. Step 6: Final answer
    x = 37.33

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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.