follow through phrasal verb (see also follow)

1. to do what needs to be done to complete something or make it successful:
The project went wrong when the staff failed to follow through.
follow something ↔ through
If you have followed through all the exercises in this book, you should be ready for the second year course.

2. to continue moving your arm after you have hit the ball in tennis, golf etc ⇒ follow-through

[TahlilGaran] Dictionary of Contemporary English ▲

ˈfollow-through noun [singular]

1. the continued movement of your arm after you have hit the ball in tennis, golf etc ⇒ follow through

2. the things that someone does in order to complete a plan ⇒ follow through:
The budget has to cover not only the main project but the follow-through.

[TahlilGaran] Dictionary of Contemporary English ▲

follow through
follow through (on (something))
to continue something until it is completed.
It was an unpopular idea, but he followed through on it anyway.

I am sorry now that I didn't follow through with music lessons when I was younger.

Etymology: based on the sports meaning of follow through (= to continue the movement of a swing, even after hitting a ball)

[TahlilGaran] English Idioms Dictionary ▲

follow through
v. phr.
1. To finish a movement that you have started; continue an action to its natural ending.
A football passer should follow through after he throws the ball.
2. To finish an action that you have started.
Bob drew plans for a table for his mother, but he did not follow through by making it.

[TahlilGaran] English Idioms Dictionary ▲