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Finding the Fourth Proportional to 44.25, 61.05 and 25.82

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Solution

The fourth proportional to 44.25, 61.05 and 25.82 is: 35.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.25 : 61.05 = 25.82 : x
  2. Step 2: Convert to fraction form
    44.25/61.05 = 25.82/x
  3. Step 3: Cross multiply
    44.25x = 61.05 × 25.82
  4. Step 4: Simplify right side
    44.25x = 1,576.33
  5. Step 5: Solve for x
    x = 1,576.33/44.25
  6. Step 6: Final answer
    x = 35.63

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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.