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Finding the Fourth Proportional to 26.46, 36.49 and 19.56

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Solution

The fourth proportional to 26.46, 36.49 and 19.56 is: 26.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.46 : 36.49 = 19.56 : x
  2. Step 2: Convert to fraction form
    26.46/36.49 = 19.56/x
  3. Step 3: Cross multiply
    26.46x = 36.49 × 19.56
  4. Step 4: Simplify right side
    26.46x = 713.60
  5. Step 5: Solve for x
    x = 713.60/26.46
  6. Step 6: Final answer
    x = 26.97

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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.