1" scale is 1:12. (The ride-on guys refer to scales as xx to the foot.) So their rail is smaller than 1:10, which you requested.
LGB rail is code 332, or 0.332" tall. I think someone else makes plastic rail about the same size - TrainLi ?
However, rail comes in many sizes. Rick's "Da Trains" website section has many useful charts, including this on rail sizes.
https://www.urbaneagle.com/data/RRrailsizes.html
The chart indicates 100# rail is 6" tall, so in 1:10 it would be 6/10", 0.6", or code 600 in our vernacular. LGB is a little bigger than that so it corresponds to about 60# rail. That is quite light - more suitable for a backwoods logging line, I think.