1. Open the Terminal
2. Download the Air installer file :
http://airdownload.adobe.com/air/lin/download/1.5/AdobeAIRInstaller.bin
3. The name of the file is AdobeAIRInstaller.bin
4. Save the file in the Home folder (Places > Home Folder)
5. Run this command:
chmod +x AdobeAIRInstaller.bin
6. Now run this command:
sudo ./AdobeAIRInstaller.bin
The normal installer will open, install it.
From now whenever you download a .air file, just double click it and it will be installed.