The frequency densities of the four classes in a histogram are in the ratio 4 : 3

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The frequency densities of the four classes in a histogram are in the ratio 4 : 3 : 2 :1. The frequencies of these classes are in the ratio 10 :15 : 24 : 8.

Find the total width of the histogram, given that the narrowest class interval is represented by a column of width 3cm.

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