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Finding the Fourth Proportional to 28.20, 42.19 and 18.52

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Solution

The fourth proportional to 28.20, 42.19 and 18.52 is: 27.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.20 : 42.19 = 18.52 : x
  2. Step 2: Convert to fraction form
    28.20/42.19 = 18.52/x
  3. Step 3: Cross multiply
    28.20x = 42.19 × 18.52
  4. Step 4: Simplify right side
    28.20x = 781.36
  5. Step 5: Solve for x
    x = 781.36/28.20
  6. Step 6: Final answer
    x = 27.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.