using get_the_category to go one more level in depth of current post

What I’m attempting to do is to get the current code or one like it:

<?php
foreach((get_the_category()) as $category) {
    if ($category->category_parent  == '7') {
        echo '<a href="' . get_category_link( $category->term_id ) . '" title="' . sprintf(__( "View all posts in %s" ), $category->name ) . '" ' . '>' . $category->name.'</a> ';
    }
}
?>

It will display the post under the current category chosen, so say ID 42 = Places and it will output the child USA

I’m trying to go further in the category depths to pull the next category inline, such as it is setup:

Places (id 42), USA, Florida, City

The current code will grab only the child of 42, how do I make it retrieve one depth lower to get just Florida and not the City?