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Finding the Fourth Proportional to 37.97, 51.97 and 36.80

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Solution

The fourth proportional to 37.97, 51.97 and 36.80 is: 50.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 51.97 = 36.80 : x
  2. Step 2: Convert to fraction form
    37.97/51.97 = 36.80/x
  3. Step 3: Cross multiply
    37.97x = 51.97 × 36.80
  4. Step 4: Simplify right side
    37.97x = 1,912.50
  5. Step 5: Solve for x
    x = 1,912.50/37.97
  6. Step 6: Final answer
    x = 50.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.