Question 152839
This problem asks for two things: 
<br>Firstly, we need to set up the relative density equation. It says that the relative density is W<sub>a</sub> divided by the difference of W<sub>a</sub> and W<sub>w</sub>, so:
{{{W[a] / (W[a] - W[w])}}}
<br>Secondly, we need find the relative density of lead. Since we don't know the exact values of the lead's weight in air or the lead's weight in water, we'll just use what we know:
{{{W[a] = 1.097 W[w]}}}
<br>Plug this back into the relative density equation:
{{{W[a] / (W[a] - W[w])}}}

{{{1.097*W[w] / (1.097*W[w] - W[w]))}}}
{{{1.097*W[w] / ((1.097-1)*W[w]))}}}
{{{1.097*W[w] / ((0.097)*W[w]))}}}
<br>They do cancel out:
{{{1.097*cross(W[w]) / ((0.097)*cross(W[w]))}}}
{{{1.097 / 0.097}}}
{{{11.3092784}}}
<br>Therefore, the relative density of lead is 11.309.