I would guess a fuel pump getting weak, or a leaky pulsator (its mounted above the fuel pump inside the tank). You could try turning on the key and let the fuel pump run (should run only a few seconds), turn the key off for a second, then turn the key back on and let the pump run for a few more seconds again, then try to start. This procedure should get full pressure to the injectors.
I think this also works for some older Reattas that had an old Prom version in the ECM. The newer Prom would let the fuel pump run longer to prime the system to full pressure.
The pulsator "quiets" the pressurized gas coming out of the pump. Sometimes mechanics replace the pulsator with a short piece of fuel line, which could prematurely rot out and seep fuel back into the tank causing low fuel pressure. You may also hear a buzzing noise from the fuel tank area with no pulsator installed.