The average height of Al, Anne, and Allan is 66 inches. If Arnel is included in the group, their average height becomes 70 inches. How tall is Arnel?

(66 + 66 + 66 + x) / 4 = 70

Solve for x

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To find out Arnel's height, we can start by calculating the combined height of Al, Anne, and Allan. We know that the average height of the three is 66 inches, so the sum of their heights will be 66 multiplied by 3, which gives us 198 inches.

Next, we need to calculate the combined height of all four individuals, which gives us an average of 70 inches. Since we already know the combined height of Al, Anne, and Allan is 198 inches, we can subtract this from the total combined height of the group, which is 4 multiplied by 70 inches, giving us 280 inches.

Therefore, to find Arnel's height, we subtract the combined height of Al, Anne, and Allan from the total combined height of all four individuals: 280 inches - 198 inches = 82 inches.

Hence, Arnel's height is 82 inches.