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Finding the Fourth Proportional to 25, 34.41 and 22.27

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Solution

The fourth proportional to 25, 34.41 and 22.27 is: 30.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 34.41 = 22.27 : x
  2. Step 2: Convert to fraction form
    25/34.41 = 22.27/x
  3. Step 3: Cross multiply
    25x = 34.41 × 22.27
  4. Step 4: Simplify right side
    25x = 766.31
  5. Step 5: Solve for x
    x = 766.31/25
  6. Step 6: Final answer
    x = 30.65

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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.