Answer :
Final answer:
The question belongs to Mathematics and involves basic algebra operations. By summing up the given height differences and setting up an equation, you can solve for the shortest height, which is 170 cm.
Explanation:
The subject of this question is Mathematics and it involves basic algebra operations. If the average height of four men is 174 cm, that means that the sum of their heights is 4*174=696 cm. This is the piece of information that will guide the whole process to find the answer.
If the height difference between the first three men is 2 cm each and the difference between the 3rd and 4th man is 6 cm, we can set up the following equation: The 1st man's height is h, the 2nd man’s height is h+2, the 3rd man’s height is h+4, and the 4th man’s height is h+10. Summing all these heights should equal to 696 cm.
Setting up the equation gives us: 4h + 16 = 696 which simplifies to 4h = 680. Finally, h = 170 cm, therefore the shortest man is 170 cm.
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