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Finding the Fourth Proportional to 159.98, 239.81 and 77.66

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Solution

The fourth proportional to 159.98, 239.81 and 77.66 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 239.81 = 77.66 : x
  2. Step 2: Convert to fraction form
    159.98/239.81 = 77.66/x
  3. Step 3: Cross multiply
    159.98x = 239.81 × 77.66
  4. Step 4: Simplify right side
    159.98x = 18,623.39
  5. Step 5: Solve for x
    x = 18,623.39/159.98
  6. Step 6: Final answer
    x = 116.41

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