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Finding the Fourth Proportional to 36.25, 49.97 and 28.05

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Solution

The fourth proportional to 36.25, 49.97 and 28.05 is: 38.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.25 : 49.97 = 28.05 : x
  2. Step 2: Convert to fraction form
    36.25/49.97 = 28.05/x
  3. Step 3: Cross multiply
    36.25x = 49.97 × 28.05
  4. Step 4: Simplify right side
    36.25x = 1,401.38
  5. Step 5: Solve for x
    x = 1,401.38/36.25
  6. Step 6: Final answer
    x = 38.66

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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.