To solve this question, the user needs to know how to solve equations involving square roots and basic arithmetic. The user must also understand that the square root of a product is equal to the product of the square roots.
We start by isolating the variable in the equation:
$$\sqrt{0.0169x} = 1.3$$
We can then solve for x by squaring both sides of the equation:
$$0.0169x = 1.69$$
$$x = \frac{1.69}{0.0169} = 100$$
Therefore, the answer is option B: 100, since it is the only value that satisfies the equation.
Option A and C are incorrect since they are not the correct value of x that satisfies the equation. Option D is also incorrect since we have found a value of x that satisfies the equation, which is 100.