Solve 0.211/0.34=1*10^-3*x0.086/1.6*10^-3*60*0.0955

$$\frac { 0.211 } { 0.34 } = \frac { 1 \times 10 ^ { - 3 } \times x 0.086 } { 1.6 \times 10 ^ { - 3 } \times 60 \times 0.0955 }$$

Solve for x_0

$$x_{0} = \frac{241806}{3655} = 66\frac{576}{3655} \approx 66.157592339$$

Steps for Solving Linear Equation

Expand \frac{0.211}{0.34} by multiplying both numerator and the denominator by 1000.

$$\frac{211}{340}=\frac{1\times 10^{-3}x_{0}\times 0.086}{1.6\times 10^{-3}\times 60\times 0.0955}$$

Cancel out 10^{-3} in both numerator and denominator.

$$\frac{211}{340}=\frac{0.086x_{0}}{0.0955\times 1.6\times 60}$$

Multiply 0.0955 and 1.6 to get 0.1528.

$$\frac{211}{340}=\frac{0.086x_{0}}{0.1528\times 60}$$

Multiply 0.1528 and 60 to get 9.168.

$$\frac{211}{340}=\frac{0.086x_{0}}{9.168}$$

Divide 0.086x_{0} by 9.168 to get \frac{43}{4584}x_{0}.

$$\frac{211}{340}=\frac{43}{4584}x_{0}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{43}{4584}x_{0}=\frac{211}{340}$$

Divide both sides by \frac{43}{4584}.

$$x_{0}=\frac{\frac{211}{340}}{\frac{43}{4584}}$$

Express \frac{\frac{211}{340}}{\frac{43}{4584}} as a single fraction.

$$x_{0}=\frac{211}{340\times \frac{43}{4584}}$$

Multiply 340 and \frac{43}{4584} to get \frac{3655}{1146}.

$$x_{0}=\frac{211}{\frac{3655}{1146}}$$