Real-world problems that we can solve using ratios and proportions include:

1. Cooking: When you make recipes, you often need to mix ingredients in certain amounts. For example, if a cake recipe calls for a $2:1$ ratio of flour to sugar, and you use $200$ grams of flour, you'll need $100$ grams of sugar.

2. Finance: When you plan your budget, you might find that $60\%$ of your money goes to things you need, like food and rent. Knowing your total income helps you figure out how much you’re spending on these necessities.

3. Maps and Models: Ratios can help you understand distances on maps. If a map has a $1:1000$ scale, this means that $1$ cm on the map represents $1000$ cm in real life.

4. Sports Statistics: In sports, you can look at an athlete's scoring ratio to see how well they perform. For example, if a player scores $80$ points out of $100$ tries, their scoring ratio is $4:5$.