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Finding the Fourth Proportional to 27.84, 41.86 and 25.96

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Solution

The fourth proportional to 27.84, 41.86 and 25.96 is: 39.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.86 = 25.96 : x
  2. Step 2: Convert to fraction form
    27.84/41.86 = 25.96/x
  3. Step 3: Cross multiply
    27.84x = 41.86 × 25.96
  4. Step 4: Simplify right side
    27.84x = 1,086.69
  5. Step 5: Solve for x
    x = 1,086.69/27.84
  6. Step 6: Final answer
    x = 39.03

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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.