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Finding the Fourth Proportional to 28.58, 39.17 and 28.31

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Solution

The fourth proportional to 28.58, 39.17 and 28.31 is: 38.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.58 : 39.17 = 28.31 : x
  2. Step 2: Convert to fraction form
    28.58/39.17 = 28.31/x
  3. Step 3: Cross multiply
    28.58x = 39.17 × 28.31
  4. Step 4: Simplify right side
    28.58x = 1,108.57
  5. Step 5: Solve for x
    x = 1,108.57/28.58
  6. Step 6: Final answer
    x = 38.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.