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Finding the Fourth Proportional to 33.87, 46.72 and 20.04

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Solution

The fourth proportional to 33.87, 46.72 and 20.04 is: 27.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.87 : 46.72 = 20.04 : x
  2. Step 2: Convert to fraction form
    33.87/46.72 = 20.04/x
  3. Step 3: Cross multiply
    33.87x = 46.72 × 20.04
  4. Step 4: Simplify right side
    33.87x = 936.33
  5. Step 5: Solve for x
    x = 936.33/33.87
  6. Step 6: Final answer
    x = 27.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.