The weight of the fourth casting is 48 kg.
Given - The weight of three castings -
45.302kg
44.982kg
45.716kg
To find - The average weight if the 4th casting is taken the average weight becomes 46kg what is the weight of the 4th casting
Solution -
Let's calculate the average weight of the first three castings using the given weights:
Average weight = (Weight of first casting + Weight of second casting + Weight of third casting) / 3
Average weight = (45.302 kg + 44.982 kg + 45.716 kg) / 3
Average weight = 136.000 kg / 3
Average weight = 45.3333... kg (rounded to four decimal places)
Now, let's calculate the weight of the fourth casting by using the average weight and the desired overall average weight:
Total weight of all four castings = Average weight * 4
Total weight of all four castings = 46 kg * 4
Total weight of all four castings = 184 kg
To find the weight of the fourth casting, we subtract the total weight of the first three castings from the total weight of all four castings:
Weight of the fourth casting = Total weight of all four castings - Total weight of first three castings
Weight of the fourth casting = 184 kg - 136 kg
Weight of the fourth casting = 48 kg
Therefore, the weight of the fourth casting is 48 kg