How many yards are in a 100 meter race ? How many feet?

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

The direct rule of three is the rule applied in this case where there is a change of units.

Distance in yards and feet

To perform in this case the conversion of units, you must first know that:

1 m= 1.09361 yards
1 m= 3.28084 feets

Then, you can apply the following rules of three:

if 1.09361 yards is 1 meter, how many yards equals 100 meters?

1 meter ⇒ 1.09361 yards

100 meters ⇒ x

So: [tex]x=\frac{100 metersx1.09361 yards}{1 meter}[/tex]

Solving:

x= 109.361 yards

if 3.28084 feets is 1 meter, how many yards equals 100 meters?

1 meter ⇒ 3.28084 feets

100 meters ⇒ x

So: [tex]x=\frac{100 metersx3.28084 feets}{1 meter}[/tex]

Solving:

x= 328.084 feets

In summary, 100 meters are 109.361 yards and 328.084 feets.

Learn more about rule of three and change of units with this example:

brainly.com/question/12482948

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