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Finding the Fourth Proportional to 27.82, 38.40 and 19.66

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Solution

The fourth proportional to 27.82, 38.40 and 19.66 is: 27.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 38.40 = 19.66 : x
  2. Step 2: Convert to fraction form
    27.82/38.40 = 19.66/x
  3. Step 3: Cross multiply
    27.82x = 38.40 × 19.66
  4. Step 4: Simplify right side
    27.82x = 754.94
  5. Step 5: Solve for x
    x = 754.94/27.82
  6. Step 6: Final answer
    x = 27.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.