At installation skype under syse 10 appears missing dependence: libqt4-x11. At installation libqt4-x11 appears missing dependence libqt4. libqt4 it was already installed and at attempt it to instal the appropriate message is produced.
If you are running 64-bit, you need to install the 32bit packages, in particular:
libqt4-32bit
libqt4-x11-32bit