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Finding the Fourth Proportional to 37.75, 52.09 and 20.50

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Solution

The fourth proportional to 37.75, 52.09 and 20.50 is: 28.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 52.09 = 20.50 : x
  2. Step 2: Convert to fraction form
    37.75/52.09 = 20.50/x
  3. Step 3: Cross multiply
    37.75x = 52.09 × 20.50
  4. Step 4: Simplify right side
    37.75x = 1,067.60
  5. Step 5: Solve for x
    x = 1,067.60/37.75
  6. Step 6: Final answer
    x = 28.28

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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.