4. Roman, Fedia, Liza, Katya, and Andrey came to the club meeting. Roman came later than Liza, Fedia earlier than Roman and right after Katya. Katya came earlier than Liza, but was not the first. Who among the kids came to the meeting third?
4. First solution method. Based on the condition that Roman came later than Liz, and Fedya came right after Katya, we have: LR, KF. Since Katya came earlier than Liz, and Fedya came earlier than Roman, we get the following situation: KFLR. Since Katya was not the first, it follows that the first was Andrey: AKFLR. Fedya was third.

Second solution method. This problem can be solved using a table. For this, we will highlight the elements of two sets mentioned in the problem: the set of the kids' names (R, F, L, K, A) and the set of the ordinal numbers of their arrival to the lesson (1, 2, 3, 4, 5). Using the condition of the problem, we first establish that Roman came last. This allows us to conclude that he could not have arrived 1, 2, 3, or 4. Reasoning similarly, we will fill in the entire table, from which we will determine who came third.

Answer: Fedya came third.