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Finding the Fourth Proportional to 37.50, 51.75 and 20.25

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Solution

The fourth proportional to 37.50, 51.75 and 20.25 is: 27.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 51.75 = 20.25 : x
  2. Step 2: Convert to fraction form
    37.50/51.75 = 20.25/x
  3. Step 3: Cross multiply
    37.50x = 51.75 × 20.25
  4. Step 4: Simplify right side
    37.50x = 1,047.94
  5. Step 5: Solve for x
    x = 1,047.94/37.50
  6. Step 6: Final answer
    x = 27.95

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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.