Convert from gnat's eye to cape inch

Unit Definition (gnat's eye)
The gnat's eye is an idiomatic "unit" of distance; it's common to hear that something is "as small as a gnat's eye". In fact, the eyes of typical gnats tend to have diameters similar in size to a hair's breadth: roughly 100-150 micrometers (0.10-0.15 millimeters).

Unit Definition (cape inch)
The cape inch is another traditional South African unit for distance. There are 12 cape inches in a cape foot. The Cape foot equals 12.396 English inches, 1.0330 English foot, or 31.4858 centimeters.