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Finding the Fourth Proportional to 26.68, 36.81 and 19.42

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Solution

The fourth proportional to 26.68, 36.81 and 19.42 is: 26.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.68 : 36.81 = 19.42 : x
  2. Step 2: Convert to fraction form
    26.68/36.81 = 19.42/x
  3. Step 3: Cross multiply
    26.68x = 36.81 × 19.42
  4. Step 4: Simplify right side
    26.68x = 714.85
  5. Step 5: Solve for x
    x = 714.85/26.68
  6. Step 6: Final answer
    x = 26.79

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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.