Ratkić was born in Zagreb, at the time in SR Croatia, SFR Yugoslavia. He is a member of SK Medveščak. Ratkić has competed at the 2006 and 2010 Winter Olympics. He competed at the FIS Alpine World Ski Championships on three occasions. His best result is 13th place in super combined at the 2009 World Championships in Val d'Isere, France.
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