In the questions, there is a certain relationship between the two given numbers on one side of :: and one number is given on another side of :: . It is required to find another number from the given alternative having the same relationship with this number as the numbers of the given pair has :
0.16: 0.0016 :: 1.02: ?

Options

A. `0.0102`
B. `0.102`
C. `1.020`
D. `10.20`

Explanation

To solve the analogy problem given, we need to identify the relationship between the numbers on the left side of the "::" and apply the same relationship to the number on the right side.

### Step-by-Step Solution:

1. **Identify the relationship between the first pair of numbers (0.16 and 0.0016)**:
- We can observe that 0.0016 is derived from 0.16 by dividing it by 100.
- Calculation:
\[ 0.16 \div 100 = 0.0016 \]

2. **Apply the same relationship to the second number (1.02)**:
- We will divide 1.02 by 100 to find the corresponding number.
- Calculation:
\[ 1.02 \div 100 = 0.0102 \]

3. **Identify the correct option**:
- We have calculated that the number corresponding to 1.02 is 0.0102.
- Now, we check the options provided:
- Option 1: 0.0102
- Option 2: 0.102
- Option 3: 1.020
- Option 4: 1.020
- The correct answer is Option 1: 0.0102.

### Final Answer:
The answer is **0.0102**.

---