A medical procedure for use in connection with a patient suffering from cuff tear arthropathy is disclosed. The medial procedure includes securing a prosthetic head component having a glenoid-bearing portion and an acromion-bearing portion to a humerus of a patient so that the glenoid-bearing portion is positioned in bearing contact with a glenoid surface of a scapula of the patient. The method further includes abducting the humerus so as to move the acromion-bearing portion of the prosthetic head component into direct contact with an acromion of the patient.