High School

There are three possible modes of transportation in your state: Rail, Roads, and Rivers. Your state has 380 km of Rail, 860 km of Roads, and 164 km of Rivers.

Taking the three ratios – Rail : Roads, Roads : Rivers, and Rail : Rivers, find the value of the highest consequent.

Answer :

Final answer:

To find the value of the highest consequent, compare the ratios Rail : Roads, Roads : Rivers, and Rail : Rivers. The highest consequent is Roads : Rivers.

Explanation:

To find the value of the highest consequent, we need to compare the ratios between Rail : Roads, Roads : Rivers, and Rail : Rivers.

The ratio Rail : Roads is calculated by dividing the length of Rail (380 km) by the length of Roads (860 km). Therefore, Rail : Roads = 380/860.

The ratio Roads : Rivers is calculated by dividing the length of Roads (860 km) by the length of Rivers (164 km). Therefore, Roads : Rivers = 860/164.

The ratio Rail : Rivers is calculated by dividing the length of Rail (380 km) by the length of Rivers (164 km). Therefore, Rail : Rivers = 380/164.

Now we compare the three ratios to find the highest consequent:

  • Rail : Roads = 380/860 = 0.44186
  • Roads : Rivers = 860/164 = 5.2439
  • Rail : Rivers = 380/164 = 2.3171

From the three ratios, the highest consequent is Roads : Rivers = 5.2439.