Number quiz answer

got the answer to my earlier quiz.

 19/6 is approximately √10: 10 * 62 = 360; 192 = 361
  9/2 is approximately √20: 20 * 22 = 80; 92 = 81
 11/2 is approximately √30: 30 * 22 = 120; 112 = 121
 19/3 is approximately √40: 40 * 32 = 360; 192 = 361
 99/14 is approximately √50: 50 * 142 = 9800; 992 = 9801
 31/4 is approximately √60: 60 * 42 = 960; 312 = 961
251/30 is approximately √70: 70 * 302 = 63000; 2512 = 63001
161/18 is approximately √80: 80 * 182 = 25920; 1612 = 25921

So the next in the sequence is 19/2:

 19/2 is approximately √90: 90 * 22 = 360; 192 = 361

points out, reasonably enough, that 9/1 is as good as 161/18 for the eighth fraction in the sequence.

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