2 inches
To find the distance the pendulum will travel on the fifth oscillation, we first need to determine the distance on the second, third, and fourth oscillations.
Distance on the second oscillation = 12 * (2/3) = 8 inches
Distance on the third oscillation = 8 * (2/3) = 5.33 inches
Distance on the fourth oscillation = 5.33 * (2/3) = 3.56 inches
Therefore, the distance on the fifth oscillation will be approximately 3.56 inches, rounded to the nearest whole inch.