243



(12)
l' = l : (5.5)' = 166.315 :: 8 : a? = 166.315 x 8 =$1331



100 : 800 : : 6» : x^
100 : 800 : : 3' : x^
100 : 800 : : .5' : x^



(13)

n28; ^1728

216; ^2l6

1; v^I



1 2 in. long.
6 in. wide.
1 in. thick. A^



3 :


24 : :


3 :


24 ::


3 :


24 ::



(14)
12» : x;* = 13824 ; ^13824
10» : x' = 8000 ; -J^gOOO



(4.5)



3



24 ft. long.
X



= 20 ft. wide.
= 129; v^725 = 9 ft. deep.
3 _



(15)
2 : 16 : : 10» : ar» = 8000 ; v'^OOO = 20 ft. Ans.
(16)
The yarn will be in the form of a globe, after each of the
three women has taken off her share ; these globes are to
each other as the cubes of their diameters ; and as each is
to have J of the whole, 4, 3, 2, 1, will represent the rel-
ative sizes of these globes ;

4 : 3 : : 6' = 216 : x = (5.45+)'; 5.45 = 2d diameter ;
6 — 5.45 = .54 in., part wound off by first woman ;
4 : 2 :: 6' : ar=(4.16+)3; 4.16 = 3d diameter ;
6.45 — 4.16 = .69 in., part wound off by second woman ;
4 : 1 : : 6^ : 57 = (3.11+)'; 3.11 = 4th diameter;
4.16 — 3.11 = .99 in., part wound off by third woman ;
3.11+ in., part which fourth woman had.
244 ARITHMKTICAL PROGRESSION. [340-342.
ARITHMETICAL PROGRESSION.
(1)
(18 - 1) X 5 = 85 ; 85 + 4 = 89 Ans.
