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The world of Fibonacci

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Important Ratios

In our last unit, we were introduced to the concept of Fibonacci. It is all about numbers & ratios. The purpose of this unit is to discuss the importance of ratios in the study of Fibonacci analysis. 

Various percentages can be derived from the Fibonacci Series. It has been seen that a unique consistency is there when a number in the Fibonacci series is divided by its immediate succeeding number in the series.





144/233 =0.618

Another uniformity can be observed when any number in the Fibonacci series is divided by a number two places higher than the given number.

13/34 = 0.382


34/89 = 0.382

55/144 0.382


Similarly, when we divide the number by a 3 digit higher number in the series, the consistency is still maintained.

13/55 - 0.236


34/144 0.236

55/233 0.236

So if we express all the above numbers in percentage terms, the value comes as 23.6%, 38.2%, 61.8% and so on. So the most commonly used ratios include 23.6%, 38.2%, 50%, 61.8%, and 78.6%.

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