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Finding the Fourth Proportional to 27.92, 41.84 and 20.80

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Solution

The fourth proportional to 27.92, 41.84 and 20.80 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.92 : 41.84 = 20.80 : x
  2. Step 2: Convert to fraction form
    27.92/41.84 = 20.80/x
  3. Step 3: Cross multiply
    27.92x = 41.84 × 20.80
  4. Step 4: Simplify right side
    27.92x = 870.27
  5. Step 5: Solve for x
    x = 870.27/27.92
  6. Step 6: Final answer
    x = 31.17

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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.