Using proportions, it is found that the value of yz is given as follows:
yz = 38/13.
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Considering that y is between x and z, the lengths can be related as follows:
xz = xy + yz.
Hence, considering that xz and xy are given in the problem, we can find yz as follows:
3 = 1/13 + yz
yz = 3 - 1/13
yz = 39/13 - 1/13
yz = 38/13.
More can be learned about proportions at brainly.com/question/24372153
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