The length of a cell phone is 1.8 inches and the width is 4.8 inches. The company making the cell phone wants to make a new version whose length will be 6.2 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

To find the width of the new cell phone, a proportion is set up using the original and new lengths and widths, maintaining the same ratio. The calculation shows that the new width is approximately 22.529 inches.

Explanation:

The question asks us to determine the width of a new cell phone model based on a proportional relationship between it and the original model. The original cell phone has dimensions of 81.8 inches in length and 84.8 inches in width. The new model is supposed to have a length of 21.62 inches.

Since the original and new models are proportional, we use the concept of ratios to relate their dimensions. We have the original ratio (length to width) and we want to find the width that corresponds to the new length while maintaining the same ratio.

Let's set up the proportion:

Original length to original width ratio: 81.8 / 84.8
New length to new width ratio: 21.62 / W

Using the proportion, we can find the width (W):

81.8 / 84.8 = 21.62 / W

W = (21.62 * 84.8) / 81.8

W = 22.529

The new width would be approximately 22.529 inches.