1. **State the problem:** We need to find the number of new Fuji apple trees to plant so that the ratio of Fuji to Gala apple trees remains the same. 2. **Given data:** - Gala apple trees: 30 and 120 - Fuji apple trees: unknown, unknown, 160 3. **Set up the ratio:** The ratio of Fuji to Gala apple trees should be constant. Let the missing Fuji apple trees be $x$ and $y$ corresponding to Gala apple trees 30 and the missing Gala value respectively. 4. **Find the missing Gala value:** Since Gala trees go from 30 to 120, the middle value is the average or proportional step: $$\frac{120}{30} = 4$$ So the middle Gala value is $30 \times 2 = 60$ (assuming equal steps). 5. **Write ratios:** $$\frac{x}{30} = \frac{y}{60} = \frac{160}{120}$$ 6. **Calculate the ratio:** $$\frac{160}{120} = \frac{4}{3}$$ 7. **Find $x$:** $$x = 30 \times \frac{4}{3} = 40$$ 8. **Find $y$:** $$y = 60 \times \frac{4}{3} = 80$$ 9. **Complete the table:** Fuji Apple Trees: 40, 80, 160 Gala Apple Trees: 30, 60, 120 **Final answer:** The owners should plant 40 Fuji apple trees when planting 30 Gala apple trees to maintain the ratio.