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To find the distance the pendulum will travel on the fifth oscillation, we need to find the distances for each of the five oscillations:
1st oscillation: 12 inches
2nd oscillation: (2/3) * 12 = 8 inches
3rd oscillation: (2/3) * 8 = 16/3 ≈ 5.33 inches
4th oscillation: (2/3) * 16/3 ≈ 3.56 inches
5th oscillation: (2/3) * 3.56 ≈ 2.37 inches
Rounded to the nearest whole inch, the pendulum will travel 2 inches on the fifth oscillation.