What ratios are known to make almost integers?

The Fibonacci sequence is a mathematical sequence where each number is the sum of the two preceding ones. The ratios between consecutive Fibonacci numbers tend to approach the golden ratio, which is approximately 1.618. This ratio is known to create aesthetically pleasing and harmonious proportions, often found in art, architecture, and nature. Due to the close approximation to whole numbers, the ratios of Fibonacci numbers are considered to make almost integers.