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Finding the Fourth Proportional to 28.35, 38.85 and 28.26

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Solution

The fourth proportional to 28.35, 38.85 and 28.26 is: 38.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.35 : 38.85 = 28.26 : x
  2. Step 2: Convert to fraction form
    28.35/38.85 = 28.26/x
  3. Step 3: Cross multiply
    28.35x = 38.85 × 28.26
  4. Step 4: Simplify right side
    28.35x = 1,097.90
  5. Step 5: Solve for x
    x = 1,097.90/28.35
  6. Step 6: Final answer
    x = 38.73

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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.