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Finding the Fourth Proportional to 25.31, 37.97 and 20.22

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Solution

The fourth proportional to 25.31, 37.97 and 20.22 is: 30.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 37.97 = 20.22 : x
  2. Step 2: Convert to fraction form
    25.31/37.97 = 20.22/x
  3. Step 3: Cross multiply
    25.31x = 37.97 × 20.22
  4. Step 4: Simplify right side
    25.31x = 767.75
  5. Step 5: Solve for x
    x = 767.75/25.31
  6. Step 6: Final answer
    x = 30.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.