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Finding the Fourth Proportional to 27.99, 38.65 and 19.82

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Solution

The fourth proportional to 27.99, 38.65 and 19.82 is: 27.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 38.65 = 19.82 : x
  2. Step 2: Convert to fraction form
    27.99/38.65 = 19.82/x
  3. Step 3: Cross multiply
    27.99x = 38.65 × 19.82
  4. Step 4: Simplify right side
    27.99x = 766.04
  5. Step 5: Solve for x
    x = 766.04/27.99
  6. Step 6: Final answer
    x = 27.37

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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.