Final answer:
The finished rope's length is found by setting up a proportion based on the current completion percentage and the current length. By solving the equation, the full length of the finished rope is calculated to be approximately 253.21 yards.
Step-by-step explanation:
The student's question asks about determining the length of a finished rope based on the current length and the percentage of completion. The machine has completed 53% of the rope, which is currently 134 yards long. To find the full length of the rope when it's 100% complete, you can set up a proportion where 53% corresponds to 134 yards and 100% (full length) corresponds to the unknown length (we'll call it 'x').
The proportion will look like this:
- 53% corresponds to 134 yards
- 100% corresponds to 'x' yards
You can then solve the equation 53/100 = 134/x to find the length of the rope when it's fully completed. Multiplying both sides of the equation by 'x' and then dividing by 53 gives you x = (134 * 100) / 53, which simplifies to x = 253.2075. Therefore, the full length of the finished rope will be approximately 253.21 yards.