Strong-field excitation of alkyl phenyl ketone molecules reveals an electronic resonance at 1370 nm in the radical cations upon measuring mass spectra as a function of excitation wavelength from 1240 to 1550 nm. The ratio of the benzoyl fragment ion to parent ion signal in acetophenone increases from 1:1.5 at 1240 nm excitation to 5:1 at 1370 nm (0.9 eV), and back to 1:1 at 1450 nm. Unlike acetophenone and propiophenone, the homologous molecules acetone and ethylbenzene exhibit no wavelength-dependent fragmentation patterns over the range from 1240 to 1550 nm, supporting the hypothesis that the electronic structure of the alkyl phenyl ketone cation enables the one-photon transition. Calculations on the acetophenone and propiophenone radical cations show the existence of a bright state, D-2, 0.87 and 0.88 eV, respectively, above the ground-state D-0 minimum. Calculations of the potential energy surfaces of the acetophenone radical cation suggest that a D-2 -> D-0 radiationless transition precedes dissociation on D-0. Upon population transfer to the D-2 surface, the wavepacket motion is directed toward a three-state conical intersection (D-0/D-1/D-2) that facilitates the photodissociation by converting electronic to vibrational energy on the D-0 surface.