An illuminated object and a viewing screen are fixed at a distance of \(L = 90\text{ cm}\) apart on an optical bench. A thin converging lens with a focal length of \(f = 20\text{ cm}\) is placed between the object and the screen. When the lens is moved along the bench between the object and the screen, sharp focused images are formed on the screen at two distinct lens positions. What is the ratio of the height of the larger focused image to the height of the smaller focused image, \(\dfrac{h_{\text{large}}}{h_{\text{small}}}\)?