IIT JAM 2023 Question 56: Consumption and investment

In a two-period model, a consumer maximises $W_t=\ln(c_t)+\tfrac{1}{1+\theta}\ln(c_{t+1})$ subject to $c_t+\tfrac{c_{t+1}}{1+r}\le y_t+\tfrac{y_{t+1}}{1+r}$. With $\theta=0.05$, $r=0.08$, the interior equilibrium ratio $\tfrac{c_{t+1}}{c_t}$ is ________ (round off to 2 decimal places).