Which of the following was unrelated to the challenge of establishing…

The Fundamental Duties were added to the Constitution of India through the 42nd Amendment Act, which was enacted in 1976. So, option 3- 'Granting fundamental duties to every citizen' is unrelated to the challenge of establishing democracy in India after partition.

Challenges related to establishing democracy in India after partition:

The challenge was to establish a democratic system as envisioned by the Indian Constitution.
Fundamental rights were granted, and Universal adult franchise was extended in India.
India adopted representative democracy with a parliamentary form of government, ensuring political competition within a democratic framework.
The development of democratic practices in accordance with the Constitution was crucial.