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Finding the Fourth Proportional to 27.82, 41.76 and 20.59

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Solution

The fourth proportional to 27.82, 41.76 and 20.59 is: 30.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 41.76 = 20.59 : x
  2. Step 2: Convert to fraction form
    27.82/41.76 = 20.59/x
  3. Step 3: Cross multiply
    27.82x = 41.76 × 20.59
  4. Step 4: Simplify right side
    27.82x = 859.84
  5. Step 5: Solve for x
    x = 859.84/27.82
  6. Step 6: Final answer
    x = 30.91

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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.