Let's consider the highest temperature ever recorded in the world to be represented by [tex] t [/tex]. Using the information from our problem, we can say that [tex] .75t = 105[/tex].
Dividing both sides of our equation by 105 will result in our answer:
[tex] \dfrac{.75t}{.75} = \dfrac{105}{.75} [/tex]
[tex] t = \dfrac{105}{.75} = 140 [/tex]
The record temperature was 140 degrees Fahrenheit.