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Finding the Fourth Proportional to 27.82, 38.36 and 18.10

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Solution

The fourth proportional to 27.82, 38.36 and 18.10 is: 24.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 38.36 = 18.10 : x
  2. Step 2: Convert to fraction form
    27.82/38.36 = 18.10/x
  3. Step 3: Cross multiply
    27.82x = 38.36 × 18.10
  4. Step 4: Simplify right side
    27.82x = 694.32
  5. Step 5: Solve for x
    x = 694.32/27.82
  6. Step 6: Final answer
    x = 24.96

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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.