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Finding the Fourth Proportional to 105.99, 158.78 and 69.84

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Solution

The fourth proportional to 105.99, 158.78 and 69.84 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 158.78 = 69.84 : x
  2. Step 2: Convert to fraction form
    105.99/158.78 = 69.84/x
  3. Step 3: Cross multiply
    105.99x = 158.78 × 69.84
  4. Step 4: Simplify right side
    105.99x = 11,088.85
  5. Step 5: Solve for x
    x = 11,088.85/105.99
  6. Step 6: Final answer
    x = 104.62

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