Even if you have a decent pair of computer speakers with a subwoofer, it still probably isn't up to par with your stereo components. With the correct cables and some patience, you can connect your computer to your stereo system and play your ripped music files on your stereo system. This is where high quality MP3 files with bit rates of 192KB per second are noticeable.
There are several different ways to connect your computer and your stereo including direct cabling, USB audio devices, and wireless transmitters.
If the sound card on your computer has RCA jacks (with red, yellow, and white connectors), then you can use stereo cables to connect the two using these jacks. Be sure to connect the output jack on your computer's sound card to the CD jack on your stereo.
If you plan on recording the stereo output to the computer, then you need to connect the Line-out jack on your stereo receiver to the Line-in jack on your sound card.
You can also use USB cables with audio jacks on the opposite end (called a USB Audio cable) to connect the computer to the stereo. USB cables are less likely to be bothered by noise from the computer components than the standard cables.
In some stores, you can find a wireless transmitter. These transmitters connect to your sound card or to a USB port and transmit up to 300 feet to a device connected to the stereo's headphone jack. These devices are more expensive than cabling and can be susceptible to static interference, but tend to work well if you listen to the stereo from a static position without a lot of moving around.