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Finding the Fourth Proportional to 20.87, 28.71 and 20.04

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Solution

The fourth proportional to 20.87, 28.71 and 20.04 is: 27.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.87 : 28.71 = 20.04 : x
  2. Step 2: Convert to fraction form
    20.87/28.71 = 20.04/x
  3. Step 3: Cross multiply
    20.87x = 28.71 × 20.04
  4. Step 4: Simplify right side
    20.87x = 575.10
  5. Step 5: Solve for x
    x = 575.10/20.87
  6. Step 6: Final answer
    x = 27.56

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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.