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Finding the Fourth Proportional to 26.81, 40.34 and 24.35

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Solution

The fourth proportional to 26.81, 40.34 and 24.35 is: 36.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.81 : 40.34 = 24.35 : x
  2. Step 2: Convert to fraction form
    26.81/40.34 = 24.35/x
  3. Step 3: Cross multiply
    26.81x = 40.34 × 24.35
  4. Step 4: Simplify right side
    26.81x = 982.26
  5. Step 5: Solve for x
    x = 982.26/26.81
  6. Step 6: Final answer
    x = 36.63

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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.