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Finding the Fourth Proportional to 25.29, 38.00 and 22.73

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Solution

The fourth proportional to 25.29, 38.00 and 22.73 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.29 : 38.00 = 22.73 : x
  2. Step 2: Convert to fraction form
    25.29/38.00 = 22.73/x
  3. Step 3: Cross multiply
    25.29x = 38.00 × 22.73
  4. Step 4: Simplify right side
    25.29x = 863.44
  5. Step 5: Solve for x
    x = 863.44/25.29
  6. Step 6: Final answer
    x = 34.14

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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.