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Finding the Fourth Proportional to 26.76, 36.94 and 16.40

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Solution

The fourth proportional to 26.76, 36.94 and 16.40 is: 22.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.76 : 36.94 = 16.40 : x
  2. Step 2: Convert to fraction form
    26.76/36.94 = 16.40/x
  3. Step 3: Cross multiply
    26.76x = 36.94 × 16.40
  4. Step 4: Simplify right side
    26.76x = 605.82
  5. Step 5: Solve for x
    x = 605.82/26.76
  6. Step 6: Final answer
    x = 22.64

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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.