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Finding the Fourth Proportional to 26.94, 36.68 and 26.78

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Solution

The fourth proportional to 26.94, 36.68 and 26.78 is: 36.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.94 : 36.68 = 26.78 : x
  2. Step 2: Convert to fraction form
    26.94/36.68 = 26.78/x
  3. Step 3: Cross multiply
    26.94x = 36.68 × 26.78
  4. Step 4: Simplify right side
    26.94x = 982.29
  5. Step 5: Solve for x
    x = 982.29/26.94
  6. Step 6: Final answer
    x = 36.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.