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Finding the Fourth Proportional to 105.95, 158.84 and 51.83

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Solution

The fourth proportional to 105.95, 158.84 and 51.83 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.95 : 158.84 = 51.83 : x
  2. Step 2: Convert to fraction form
    105.95/158.84 = 51.83/x
  3. Step 3: Cross multiply
    105.95x = 158.84 × 51.83
  4. Step 4: Simplify right side
    105.95x = 8,232.68
  5. Step 5: Solve for x
    x = 8,232.68/105.95
  6. Step 6: Final answer
    x = 77.70

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