(3) Which of the following proportions is false? $$ \begin{array}{l}\frac{12}{15}=\frac{20}{25} \ \frac{20}{50}=\frac{40}{100} \ \frac{18}{48}=\frac{30}{50} \ \frac{25}{45}=\frac{50}{90}\end{array} $$

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To determine which proportion is false, we'll simplify each fraction:

1. For 12/15 and 20/25:
  12/15 simplifies to 4/5, and 20/25 also simplifies to 4/5.
  Since 4/5 = 4/5, the first proportion is true.

2. For 20/50 and 40/100:
  20/50 simplifies to 2/5, and 40/100 simplifies to 2/5.
  Since 2/5 = 2/5, the second proportion is true.

3. For 18/48 and 30/50:
  18/48 simplifies by dividing by 6: 18/48 = 3/8.
  30/50 simplifies by dividing by 10: 30/50 = 3/5.
  Since 3/8 ≠ 3/5, this proportion is false.

4. For 25/45 and 50/90:
  25/45 simplifies by dividing numerator and denominator by 5: 25/45 = 5/9.
  50/90 simplifies by dividing by 10: 50/90 = 5/9.
  Since 5/9 = 5/9, the fourth proportion is true.

Thus, the false proportion is 18/48 = 30/50.
The proportion $$ \frac{18}{48} = \frac{30}{50} $$ is false.

(3) Which of the following proportions is false?

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