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To determine the distance limitation for a farthest viewer from a 4K (2160p) screen with a height of 96 inches, it's essential to consider the resolution of the display and the recommended viewing distances.

4K resolution, which is 3840x2160 pixels, provides exceptional clarity and detail. The recommended viewing distance for 4K screens is approximately 1.5 times the height of the screen. This guideline ensures the viewer can fully appreciate the detail offered by the higher resolution without noticing the pixel structure.

In this case, with a screen height of 96 inches, we multiply that height by the recommended distance factor:

1.5 x 96 inches = 144 inches

While this calculation gives us a good baseline, it's helpful to actually check the provided answer of 152.8 inches. The recommendation for 4K displays can sometimes be slightly relaxed, allowing viewers to sit further back without losing significant detail.

If we apply a broader standard, 1.6 to 1.8 times the screen height is often suggested. So using 1.6:

1.6 x 96 inches = 153.6 inches

The closest approximation to this distance when looking through the provided options is