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Finding the Fourth Proportional to 51.44, 76.78 and 44.24

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Solution

The fourth proportional to 51.44, 76.78 and 44.24 is: 66.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 76.78 = 44.24 : x
  2. Step 2: Convert to fraction form
    51.44/76.78 = 44.24/x
  3. Step 3: Cross multiply
    51.44x = 76.78 × 44.24
  4. Step 4: Simplify right side
    51.44x = 3,396.75
  5. Step 5: Solve for x
    x = 3,396.75/51.44
  6. Step 6: Final answer
    x = 66.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.