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Finding the Fourth Proportional to 27.68, 41.43 and 25.97

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Solution

The fourth proportional to 27.68, 41.43 and 25.97 is: 38.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.68 : 41.43 = 25.97 : x
  2. Step 2: Convert to fraction form
    27.68/41.43 = 25.97/x
  3. Step 3: Cross multiply
    27.68x = 41.43 × 25.97
  4. Step 4: Simplify right side
    27.68x = 1,075.94
  5. Step 5: Solve for x
    x = 1,075.94/27.68
  6. Step 6: Final answer
    x = 38.87

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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.