Final answer:
The most likely cause of the patient's dizziness and poor balance is Meniere's disease.
Step-by-step explanation:
The most likely cause of the patient's dizziness and poor balance is Meniere's disease. Meniere's disease is a disorder that affects both equilibrium and audition and can present with symptoms such as vertigo, hearing loss, and tinnitus. The patient's symptoms, including worsening dizziness, poor balance in the dark, and bilateral sensorineural hearing loss, are consistent with Meniere's disease.