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Finding the Fourth Proportional to 26.97, 37.13 and 23.85

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Solution

The fourth proportional to 26.97, 37.13 and 23.85 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.97 : 37.13 = 23.85 : x
  2. Step 2: Convert to fraction form
    26.97/37.13 = 23.85/x
  3. Step 3: Cross multiply
    26.97x = 37.13 × 23.85
  4. Step 4: Simplify right side
    26.97x = 885.57
  5. Step 5: Solve for x
    x = 885.57/26.97
  6. Step 6: Final answer
    x = 32.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.