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Finding the Fourth Proportional to 26.70, 36.82 and 19.82

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Solution

The fourth proportional to 26.70, 36.82 and 19.82 is: 27.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.70 : 36.82 = 19.82 : x
  2. Step 2: Convert to fraction form
    26.70/36.82 = 19.82/x
  3. Step 3: Cross multiply
    26.70x = 36.82 × 19.82
  4. Step 4: Simplify right side
    26.70x = 729.54
  5. Step 5: Solve for x
    x = 729.54/26.70
  6. Step 6: Final answer
    x = 27.32

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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.