Have you ever heard of the Tanner Stages of Puberty? You can google it if you haven't already seen it.
Most of his growth in height is probably done. Once boys start to shave, they're at Stage 4, which means most of the height is done. He may stretch a little still in his upper body - his legs are likely nearly done growing.
Do you know how tall he was on his 2nd birthday? It's pretty accurate to double that to find the final adult height.
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