If a:b=1:2,b:c=3:5,c:d=5:4,e:d=5:6. Find a:b:c:d:e
You have to find a way to make each of the letters, besides the a and e the same in the shared ratios. Like in the 1st ratio, b is 1, but in the 2nd, b is 3. The LCM would be 6. that makes a:b = 3:6 and b:c=6:10. So now a:b:c=3:6:10. So, c in this ratio is 10, but c in the 3rd ratio is 5. LCM=10. Change the 3rd ratio to c:d=10:8.
So, now we have a:b:c:d=3:6:10:8 with d being 8. Flipping the 4th ratio, we get d:e=6:5, with d being 6. So, the LCM for d is 24. Multiplying the abcd by 3 to make d 24 gives us, a:b:c:d=9:18:30:24. The d:e ratio multiplied by 4 becomes 24:20.
Now we can make the final link. a:b:c:d:e=9:18:30:24:20