alligate

To bind or tie; to unite.

Instincts alligated to their nature.

Poor Blind Tom, the very tail end of the long decadency, has a gift that alligates him to the angels.

To solve an arithmetic problem concerning proportions by means of alligation; to associate as having the same ratio.

Link or alligate the branches, so as one greater and another less than the root may be linked or yoked together.

Having the same proportion or ratio.

The proportional parts are then found by reducing the alligate parts to the same denominator , dropping the denominators and writing the numerators .