Sinfonia HealthCare Corp., a new home health-care company launched by former Providence Service Corp. CEO Fletcher McCusker, has signed an agreement to acquire AirVida, a Tucson-based oxygen and pulmonary supply company.

Sinfonia’s fourth acquisition since April completes the company’s business model to combine all aspects of home health services under one roof, McCusker said in a news release.

AirVida, formed in 2009, is a regional specialist in oxygen and sleep therapy, with licensed respiratory therapists that direct equipment used to treat sleep disorders, the company said. Sinfonia also supplies oxygen equipment such as home concentrators to patients with acute and chronic lung disease.