# The length of the Titanic was 882 feet. Porter’s history class is building a model of the Titanic. The model is 1/100 of the actual length of the ship. How long is the model?

8.82 feet

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The length of the Titanic was 882 feet. Porter’s history class is building a model of the Titanic. The model is 1/100 of the actual length of the ship. How long is the model?
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Let’s set up the ratio. We know that the actual length of the ship was 882 feet and we want to know how long the model will be. We also have a ratio of 1 model length to every 100 actual length. So we can write this as:

##”Model length”https://studyhelp.sa.com/”Ship length”=”1 Model length”https://studyhelp.sa.com/”100 actual length”##

And we can drop in some numbers (I’ll also put in the variable ##x## to represent the length of the ship model):

##x/882=1/100##

Let’s cross multiply to solve for x:

##100x=882##

##x=8.82## feet

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