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Finding the Fourth Proportional to 77.44, 116 and 50.32

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Solution

The fourth proportional to 77.44, 116 and 50.32 is: 75.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.44 : 116 = 50.32 : x
  2. Step 2: Convert to fraction form
    77.44/116 = 50.32/x
  3. Step 3: Cross multiply
    77.44x = 116 × 50.32
  4. Step 4: Simplify right side
    77.44x = 5,837.12
  5. Step 5: Solve for x
    x = 5,837.12/77.44
  6. Step 6: Final answer
    x = 75.38

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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.