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Finding the Fourth Proportional to 105.96, 159 and 99.84

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Solution

The fourth proportional to 105.96, 159 and 99.84 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 159 = 99.84 : x
  2. Step 2: Convert to fraction form
    105.96/159 = 99.84/x
  3. Step 3: Cross multiply
    105.96x = 159 × 99.84
  4. Step 4: Simplify right side
    105.96x = 15,874.56
  5. Step 5: Solve for x
    x = 15,874.56/105.96
  6. Step 6: Final answer
    x = 149.82

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