DK-GEORGMOHR 2007 Problem 4
The figure shows a angle in which are placed numbered circles (only the first three are shown in the figure). The circles are numbered according to size. The circles are tangent to the sides of the angle and to each other as shown. Circle number one has radius . Determine the radius of circle number .

Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2007 official paper, page 1.
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