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Finding the Fourth Proportional to 26.96, 40.46 and 21.54

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Solution

The fourth proportional to 26.96, 40.46 and 21.54 is: 32.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.96 : 40.46 = 21.54 : x
  2. Step 2: Convert to fraction form
    26.96/40.46 = 21.54/x
  3. Step 3: Cross multiply
    26.96x = 40.46 × 21.54
  4. Step 4: Simplify right side
    26.96x = 871.40
  5. Step 5: Solve for x
    x = 871.40/26.96
  6. Step 6: Final answer
    x = 32.32

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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.