Question 18
Find all the sequences of equal ratios of the form $\frac{a_1}{a_2} = \frac{a_3}{a_4} = \frac{a_5}{a_6} = \frac{a_7}{a_8}$ fulfilling the conditions:
- the set $\{a_1, a_2, \dots, a_8\}$ is the set of the positive divisors of $24$;
- the common value of the ratios is an integer.
- the set $\{a_1, a_2, \dots, a_8\}$ is the set of the positive divisors of $24$;
- the common value of the ratios is an integer.