A guitar string is 90 cm long and has a fundamental frequency of 124 Hz. Where should it be pressed to produce a fundamental frequency of 186 Hz?

Explanation

To solve the problem, we need to determine the length at which the guitar string should be pressed to produce a fundamental frequency of 186 Hz, given that the original length of the string is 90 cm and its fundamental frequency is 124 Hz.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Length of the string (L1) = 90 cm = 0.90 m (convert to meters for standard SI units)
- Fundamental frequency (ν1) = 124 Hz
- New fundamental frequency (ν2) = 186 Hz
...