The given question states that one-sixth of a number is equal to 5 3. To find the original number, we can multiply both sides of the equation by 6.

One-sixth of a number = 5 3

Multiplying both sides by 6:

1/6 * 6 = 5 3 * 6

1 = 31

Therefore, the original number is 31.

Now, we are required to find 57% of that number. To calculate this, we multiply the original number (31) by 57% (0.57).

57% of 31 = 31 * 0.57 = 17.67

Therefore, 57% of the original number (31) is equal to 17.67.

Option 3 states that 181.26 is the answer. However, this answer is incorrect. The correct answer is 17.67.