To set up the proportion based on the given information, we can take the distances from the whales to the sharks (30 feet) and from the whales to the dolphins (54 feet), and we can relate this to the distance from the penguins (x feet) to the fish tanks.
The proportion you want to set up is:
\[ \frac{30 \text{ feet}}{54 \text{ feet}} = \frac{x \text{ feet}}{\text{distance from penguins to fish tanks}} \]
However, we're not given the distance to the fish tanks, so we can assume that the distances are directly proportional to the given values:
\[ \frac{30}{54} = \frac{x}{\text{?}} \]
But since we want to find just the value of \(x\), we can instead say:
\[ \frac{30}{54} = \frac{x}{30} \]
Assuming the distance from the penguins to the fish tanks also is a known variable, we can set it as 30 feet, then:
Cross Multiply:
\[ 30x = 30 \cdot 54 \]
Calculating the right side:
\[ 30x = 1620 \]
Now, solve for \(x\) by dividing both sides by 30:
\[ x = \frac{1620}{30} = 54 \text{ feet} \]
Thus, the calculated distance (x) between the penguins and the fish tanks is:
\[ x = 54 \text{ feet} \]
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