Combine garlic and olive oil in small bowl; let steep about 15 minutes.
Meanwhile, peel jicama and cut into thin slices or fine dice. Slice cucumber into thin rounds. Reserve.
Combine lime juice, red onion, and salt in small bowl. Let rest 5 minutes while you prepare the fruit.
Peel oranges, mangos, or apples. Core or seed as necessary and cut into fine dice, thin slices, or other preferred shapes. If using melon, scoop out flesh with melon baller or cut into any desired shapes.
Place fruit, jicama, and cucumber in salad bowl. Toss with powdered red chile. Add garlic-oil and onion-lime juice mixtures and toss to combine thoroughly. Serve chilled.