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Finding the Fourth Proportional to 28.21, 38.91 and 25.09

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Solution

The fourth proportional to 28.21, 38.91 and 25.09 is: 34.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.21 : 38.91 = 25.09 : x
  2. Step 2: Convert to fraction form
    28.21/38.91 = 25.09/x
  3. Step 3: Cross multiply
    28.21x = 38.91 × 25.09
  4. Step 4: Simplify right side
    28.21x = 976.25
  5. Step 5: Solve for x
    x = 976.25/28.21
  6. Step 6: Final answer
    x = 34.61

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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.