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Finding the Fourth Proportional to 25.73, 38.63 and 22.69

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Solution

The fourth proportional to 25.73, 38.63 and 22.69 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.73 : 38.63 = 22.69 : x
  2. Step 2: Convert to fraction form
    25.73/38.63 = 22.69/x
  3. Step 3: Cross multiply
    25.73x = 38.63 × 22.69
  4. Step 4: Simplify right side
    25.73x = 876.30
  5. Step 5: Solve for x
    x = 876.30/25.73
  6. Step 6: Final answer
    x = 34.06

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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.