It was September 1991 in New York and the grand finale of Look of the Year, a prestigious modeling contest that had helped launch the careers of supermodels Cindy Crawford and Helena Christensen.

The celebrity magician David Copperfield, one of the judges, watched from the front row as 58 contestants paraded across the runway in their branded hot pink and sorbet yellow swimsuits. Nearly all the contestants were teenagers; some were as young as 14.

Today, more than three decades later, five former contestants say that they were subjected to behavior by Copperfield that they now regard as inappropriate or worse. The women – who were all teenagers at the time – met him at the New York contest in 1991 or three years earlier in Japan, when…