A spin of a certain spinner has 5 possible outcomes. The table below shows the probability of spinning each of the 5 outcomes. The probability of spinning Outcome 4 is $a$ and the probability of spinning Outcome 5 is $2a$. What is the value of $a$ ?

$$\begin{array}{|l|c|c|c|c|c|} \hline \text{Outcome} & 1 & 2 & 3 & 4 & 5 \\ \hline \text{Probability} & 0.20 & 0.38 & 0.24 & a & 2a \\ \hline \end{array}$$

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The sum of all the probabilities of all of the outcomes needs to equal 1.

$$0.20 + 0.38 + 0.24 + a + 2a = 1$$ $$0.82 + 3a = 1$$ $$3a = 0.18$$ $$a = \boxed{0.06}$$