The appearance of red patches on the stomach, chest, and lower back, without itching and feeling dry, could be a sign of various skin conditions such as eczema or an allergic reaction. It is important to observe if new symptoms develop or if the patches worsen over time. Applying a fragrance-free moisturizing cream may help alleviate the symptoms, but if the condition persists or worsens, it is advisable to seek medical advice from a pharmacist or a doctor. If any additional symptoms like fever, swelling, heat, or fatigue occur, prompt medical attention is recommended.