Tyra Banks has broken up with her boyfriend of more than three years, John Utendahl, and gone on an “Eat, Pray, Love”-style trip to Bali. A source tells us the “America’s Next Top Model” diva and Brooklyn businessman Utendahl have gone their separate ways, and Banks is in the Far East “on a spiritual trip,” adding, “Tyra has gone away with a female friend and has been island-hopping, visiting Bali and taking a spiritual retreat.” Perhaps Tyra went off to find meaning after she appeared on Larry King’s “Dinner With the King.” In a taped interview shown this week, she said her tough-girl appearance on “Top Model” was just an act and, “In real life, I’m passive-aggressive . . . I’m even in coaching to learn how to be confrontational.” King interrupted, “You’re very sexy . . . You’re a sex symbol.” Utendahl doesn’t appear to be pining for The Ty-rant. He was spotted on Thursday at Catch with a leggy Russian model. Banks’ rep confirmed she was traveling but added, “I do not comment on Tyra’s personal life.”