Ohio Rev. Code § 5555.03
When a petition is presented to the board of county commissioners asking for the construction, reconstruction, improvement, or repair of any public road or part thereof and signed by at least fifty-one per cent of the land or lot owners, residents of such county, who are to be specially taxed or assessed for said improvement, the board shall, within thirty days after such petition is presented, go upon the line of the proposed improvement and, after viewing it, determine whether the public convenience and welfare require that such improvement be made. The petition shall state the method of paying the compensation, damages, and expenses of the improvement desired by the petitioners, who may request that such compensation, damages, and expenses be apportioned and paid in any one of the methods provided by section 5555.41 of the Revised code.
When such a petition is filed with the board, said improvement may be determined upon and all orders with reference thereto may be made by a majority vote of the board. The procedure for such improvement shall otherwise be the same as it is when the board proceeds without a petition.
R.C. §5555.03