If I understand that correctly, you only need to add the extra condition
to the WHERE clause of the main query. So:
SELECT id, name, cat FROM table
WHERE cat = (SELECT cat FROM table WHERE id = $ID) AND id <= $ID;
This should display all rows, before and including the row with the same
'cat' as 'id' has. For your example of $ID = 51 it should display:
+---------+------+
| id | cat |
+---------+------+
| 40 | FLK |
| 41 | FLK |
| 42 | FLK |
| 44 | FLK |
| 45 | FLK |
| 46 | FLK |
| 47 | FLK |
| 48 | FLK |
| 49 | FLK |
| 50 | FLK |
| 51 | FLK |
+---------+------+
O.K. this is the problem! it should display all rows, before and including AND
AFTER the row ,starting from the specified row with the same 'cat' as 'id' has.
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