Final answer:
The symptoms and clinical findings of the case indicate lumbar spinal stenosis, which is the narrowing of the spinal canal in the lumbar region as the most likely cause of the patient's back pain and related symptoms.
Step-by-step explanation:
The 68-year-old woman's symptoms suggest a condition where there is narrowing of the lumbar spinal canal, commonly known as spinal stenosis. This condition often presents with pain radiating to the legs when walking or standing, which is relieved by sitting or leaning forward as these positions may decrease pressure on the spinal nerves. The weakness of the extensor hallucis longus, which is associated with the L5 nerve root, bilaterally points toward a compression at this level, which is often observed in lumbar spinal canal stenosis. The absence of fever and saddle anesthesia rules out infection (like a pyogenic abscess) and severe conditions like cauda equina syndrome, respectively. Also, the presence of good pulses in the feet and no signs of acute distress or systemic illness lower the suspicion for peripheral vascular disease or a malignant tumor. Considering the provided history and symptoms, the most likely pathological mechanism for this patient's symptoms is spinal stenosis, which is characterized by the narrowing of the spinal canal in the lumbar region.