Step 1 :Given that the number of seconds to boil, $n$, is inversely proportional to the power in kilowatts, $p$. The equation of proportionality is \[n=\frac{270}{p}\]
Step 2 :We need to find the value of $p$ when $n = 90$ seconds. Substitute $n = 90$ into the equation:
Step 3 :\[90=\frac{270}{p}\]
Step 4 :To solve for $p$, multiply both sides by $p$ and then divide by 90:
Step 5 :\[p=\frac{270}{90}\]
Step 6 :\[p=3.0\]
Step 7 :\(\boxed{3.0}\) is the power of the kettle in kilowatts.