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Finding the Fourth Proportional to 116, 159.92 and 83.36

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Solution

The fourth proportional to 116, 159.92 and 83.36 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 159.92 = 83.36 : x
  2. Step 2: Convert to fraction form
    116/159.92 = 83.36/x
  3. Step 3: Cross multiply
    116x = 159.92 × 83.36
  4. Step 4: Simplify right side
    116x = 13,330.93
  5. Step 5: Solve for x
    x = 13,330.93/116
  6. Step 6: Final answer
    x = 114.92

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