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Finding the Fourth Proportional to 28.26, 42.38 and 19.71

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Solution

The fourth proportional to 28.26, 42.38 and 19.71 is: 29.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.26 : 42.38 = 19.71 : x
  2. Step 2: Convert to fraction form
    28.26/42.38 = 19.71/x
  3. Step 3: Cross multiply
    28.26x = 42.38 × 19.71
  4. Step 4: Simplify right side
    28.26x = 835.31
  5. Step 5: Solve for x
    x = 835.31/28.26
  6. Step 6: Final answer
    x = 29.56

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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.