PITTSBURGH — The Milwaukee Brewers claimed their fourth consecutive National League Central title Tuesday night, extending a run of division dominance that has no precedent in the era of the NL Central. Milwaukee beat the Pittsburgh Pirates 5-1 to secure the crown. The division became official when the Atlanta Braves defeated the Chicago Cubs 6-3, eliminating Chicago’s remaining path to overtake the Brewers. The Brewers had already secured a spot in the postseason with a win over the Cincinnati Reds last week. Now, with 11 games remaining in the regular season, manager Pat Murphy’s team owns the best record in Major League Baseball and is pursuing the first 100-win season in franchise history. The streak marks the first time any team has won four consecutive National League Central titles. Milwaukee’s sustained success has given the club an early postseason berth and positioned it to enter October with home-field advantages still potentially at stake. The Brewers will use the remaining regular-season games to finish the schedule, chase the 100-win milestone and prepare for a postseason run aimed at turning regular-season consistency into the franchise’s first World Series championship.