to (finally) arrive at; to reach (at last); to (manage to) get to; to find one's way to

to follow (a road, path, etc.); to trace

to follow (a clue, scent, tracks, plot, etc.); to trace (a route, history, family tree, etc.); to retrace (e.g. one's memory); to search; to go over

to head towards (of a situation); to go in the direction of; to take (a course); to pursue (a path); to meet (a fate)

faltering; tottering; halting; unsteady; awkward; clumsy

to reach back into one's memory; to search one's mind; to recall

Usu. 〜の一途をたどる

to continue; to keep going; to go along (e.g. with some trend)

to trace back to (the origins of something)

Idiomatic expression

to have a dream; to walk along the road of dreams