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Finding the Fourth Proportional to 26.94, 37.11 and 19.65

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Solution

The fourth proportional to 26.94, 37.11 and 19.65 is: 27.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.94 : 37.11 = 19.65 : x
  2. Step 2: Convert to fraction form
    26.94/37.11 = 19.65/x
  3. Step 3: Cross multiply
    26.94x = 37.11 × 19.65
  4. Step 4: Simplify right side
    26.94x = 729.21
  5. Step 5: Solve for x
    x = 729.21/26.94
  6. Step 6: Final answer
    x = 27.07

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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.