Final answer:
The precision approach procedure such as the Instrument Landing System (ILS) would allow the lowest forecast weather minimums to file.
Step-by-step explanation:
The approach procedure that would allow the lowest forecast weather minimums to file would be a precision approach procedure such as the Instrument Landing System (ILS). The ILS uses radio signals to guide the pilot during the approach and landing phases, providing accurate vertical and horizontal guidance.
By using the ILS, pilots can descend to lower altitudes and visibility minimums compared to non-precision approaches. This is because the ILS provides more precise navigation information, allowing pilots to safely land in lower visibility conditions.
For example, the ILS Category III approach allows pilots to land with as low as 50 feet of visibility and a decision height of 0 feet, while a non-precision approach may have higher visibility and altitude requirements.