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Finding the Fourth Proportional to 26.82, 40.16 and 24.99

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Solution

The fourth proportional to 26.82, 40.16 and 24.99 is: 37.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 40.16 = 24.99 : x
  2. Step 2: Convert to fraction form
    26.82/40.16 = 24.99/x
  3. Step 3: Cross multiply
    26.82x = 40.16 × 24.99
  4. Step 4: Simplify right side
    26.82x = 1,003.60
  5. Step 5: Solve for x
    x = 1,003.60/26.82
  6. Step 6: Final answer
    x = 37.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.