Example 6 (1998 National High School Mathematics League Question) If $f(x) (x \in \mathbf{R})$ is an even function with a period of 2. And when $x \in [0,1]$, $f(x) = x^{\frac{1}{110}}$, then the arrangement from smallest to largest of $f\left(\frac{98}{19}\right) \cdot f\left(\frac{101}{17}\right) \cdot f\left(\frac{104}{15}\right)$ is $\qquad$ .