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Finding the Fourth Proportional to 25.96, 38.71 and 24.22

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Solution

The fourth proportional to 25.96, 38.71 and 24.22 is: 36.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 38.71 = 24.22 : x
  2. Step 2: Convert to fraction form
    25.96/38.71 = 24.22/x
  3. Step 3: Cross multiply
    25.96x = 38.71 × 24.22
  4. Step 4: Simplify right side
    25.96x = 937.56
  5. Step 5: Solve for x
    x = 937.56/25.96
  6. Step 6: Final answer
    x = 36.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.