Some common health problems that cats can experience include obesity, dental disease, urinary tract infections, fleas and ticks, and skin allergies. These health problems can be prevented or treated by providing cats with a balanced diet, regular veterinary check-ups, exercise and playtime, and plenty of love and affection. Additionally, it's important to keep cats indoors and away from hazards such as traffic and other animals. By following these tips, you can help your cat to stay healthy and happy.