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Finding the Fourth Proportional to 50.78, 76.21 and 26.44

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Solution

The fourth proportional to 50.78, 76.21 and 26.44 is: 39.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 76.21 = 26.44 : x
  2. Step 2: Convert to fraction form
    50.78/76.21 = 26.44/x
  3. Step 3: Cross multiply
    50.78x = 76.21 × 26.44
  4. Step 4: Simplify right side
    50.78x = 2,015.02
  5. Step 5: Solve for x
    x = 2,015.02/50.78
  6. Step 6: Final answer
    x = 39.68

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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.