"of whatever worth" is correct and usable in written English.
You can use this phrase to express a lack of value or importance. For example, "The document was of whatever worth in the end."
Most librettos, of whatever literary worth, are intended specifically for music.
Now, when we look at a bank note in the UK, it suggests that you can exchange whatever the note's worth is for the sum of whatever that note is worth.
In effect, the worth of whatever agreements have been struck with Ashley remain unknown.
Count on about an hour's worth of whatever before you need to recharge.
26percentt of whatever your holdings were worth as the sun set on 2017 has now vanished.
"We expect to be filing suit for values far in excess of whatever his property might be worth and therefore expect to own it in the very near future".
"If the administration can't persuade 34 senators of whatever party that this agreement is worth proceeding with, then it's really a bad agreement".
So the feds stepped in again -- and again, and again -- throwing more money at the company, reducing the interest that it would pay taxpayers and eventually converting the government's loans to common stock, abandoning concrete repayment obligations in favor of whatever the stock might someday be worth.
The respondents felt that repetitive reminder of whatever happened was a test from God improved their sense of self-worth.
It's worth the time to look into the exact materials and specifications of whatever you're trying to drill.
