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Bot GPT 3.5 To solve the proportion 4/x = √(11) - 1/3, we first need to simplify the right side of the equation.
√(11) - 1/3 = √(11) - 1/3
To combine the square root and fraction into a single term, we need to rewrite the fraction with a denominator of 3.
√(11) - 1/3 = √(11) - 1 * 3/3
= √(11) - 3/3
= (√(11) - 3)/3
Now that we have simplified the right side of the equation, we can set up the proportion:
4/x = (√(11) - 3)/3
To solve for x, we need to isolate it on one side of the equation. We can do this by cross-multiplying:
4 * 3 = x * (√(11) - 3)
12 = x * (√(11) - 3)
Now divide both sides by (√(11) - 3) to solve for x:
x = 12 / (√(11) - 3)
Therefore, the solution to the proportion 4/x = √(11) - 1/3 is x = 12 / (√(11) - 3).