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Finding the Fourth Proportional to 105.92, 158.93 and 51.81

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Solution

The fourth proportional to 105.92, 158.93 and 51.81 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 158.93 = 51.81 : x
  2. Step 2: Convert to fraction form
    105.92/158.93 = 51.81/x
  3. Step 3: Cross multiply
    105.92x = 158.93 × 51.81
  4. Step 4: Simplify right side
    105.92x = 8,234.16
  5. Step 5: Solve for x
    x = 8,234.16/105.92
  6. Step 6: Final answer
    x = 77.74

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