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Finding the Fourth Proportional to 33.57, 46.32 and 27.09

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Solution

The fourth proportional to 33.57, 46.32 and 27.09 is: 37.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.57 : 46.32 = 27.09 : x
  2. Step 2: Convert to fraction form
    33.57/46.32 = 27.09/x
  3. Step 3: Cross multiply
    33.57x = 46.32 × 27.09
  4. Step 4: Simplify right side
    33.57x = 1,254.81
  5. Step 5: Solve for x
    x = 1,254.81/33.57
  6. Step 6: Final answer
    x = 37.38

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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.