If the pattern continues, yes it will eventually fill up & need you to resolve it but I doubt that will happen unless you keep adding GB's of data & don't think about what you actually need on the Mac. The systems I mentioned should automatically clean themselves up as space is constrained.
You should find that the system 'settles' over time so the disk space should slow down the rate in which it gets used. This is because the OS will store cache files, temporary files, logs etc that Paul Conaway mentioned. These are also managed by the OS & should get rotated, compressed or deleted when not useful. Simply rebooting may alter the figure you see for free disk space (temporary files are removed on reboot).
I suspect you are seeing things that we have simply ignored for years, I personally don't monitor disk usage in the levels you describe. I would be concerned if free space dropped below 20GB or so but otherwise the Mac should be fine.
The OS will warn you when space is becoming critical – sort of like painting yourself into a corner, it becomes difficult to move things around 🙂
Keep an eye on it if it concerns you, you may get used to how it behaves over time.