Patrick is $$\frac{3}{4}$$ as tall as his father. He is $$\frac{6}{7}$$ as tall as his mother. If Patrick's father is 22 cm taller than his mother, how tall is Patrick? <hr> Patrick is <input min="0" type="number" id ="imp5pg060q3_1" class="lineinput" placeholder="?" /> cm tall.