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Finding the Fourth Proportional to 27.82, 41.71 and 11.79

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Solution

The fourth proportional to 27.82, 41.71 and 11.79 is: 17.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 41.71 = 11.79 : x
  2. Step 2: Convert to fraction form
    27.82/41.71 = 11.79/x
  3. Step 3: Cross multiply
    27.82x = 41.71 × 11.79
  4. Step 4: Simplify right side
    27.82x = 491.76
  5. Step 5: Solve for x
    x = 491.76/27.82
  6. Step 6: Final answer
    x = 17.68

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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.