Here is a way,

while (<DATA>){
   if (/ID=136/)######## any condition to be satisfied to print next l
+ine.
   {
            my $t=<DATA>;#### do what ever u want with $t
            print $t;
        }
}
__DATA__
option value="PDAConfig3.asp?sid=167216582&ID=136"> 
i705 
<option value="PDAConfig3.asp?sid=167216582&ID=116"> 
III 
<option value="PDAConfig3.asp?sid=167216582&ID=118"> 
IIIc
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