Another option is to regex your file's slurped contents:

use Modern::Perl;

my $fileContents = <<END;
0.0.0.0/0          *[Static/5] 02:30:27
                    > to 192.168.4.126 via em0.0
10.0.0.36/30       *[OSPF/10] 01:46:15, metric 2
                    > to 10.0.0.106 via em1.0
                    [BGP/170] 01:43:15, localpref 100, from 10.0.0.131
                      AS path: I
10.0.0.128/32      *[Static/5] 02:22:14 
                    > to 10.0.0.110 via em2.0
                    [OSPF/10] 01:46:15, metric 3
                    > to 10.0.0.106 via em1.0
END

{
    local $/;
    open my $fh, '<', \$fileContents or die $!;
    my $data = <$fh>;

    my @IPs = $data =~ /Static.+Static.+> to ([\d.]+) via.+> to ([\d.]
++) via/s;
    say for @IPs;
}
[download]

Output:

10.0.0.110
10.0.0.106
[download]