The phrase "a dangerous problem that" is correct and usable in written English.
You can use it when introducing a specific issue or challenge that poses a risk or threat.
Example: "The researchers identified a dangerous problem that could affect the entire ecosystem if not addressed promptly."
Alternatives: "a perilous issue that" or "a threatening situation that".
This is a dangerous problem that stems from hate, homophobia, and ignorance.
On top of other challenges, the Forum tells us, our aging society is facing health illiteracy, a dangerous problem that has been flying under the radar.
for plain water, because Hyponatremia, a dangerous problem that occurs when sodium levels are too low in the body, could take effect.
The problem is (and it's a really dangerous problem) that policy is beginning to bump up against some serious logistical constraints.
Binging is an extremely dangerous problem that could lead to many health problems.
It is an immensely complicated, dangerous problem that menaces half a dozen other states in the region.
Such consideration is important, for little is self-evident in the realm of "Gypsy music," which may stand as a powerful example of the slippery and even dangerous problems that arise when we begin to articulate issues of ethnicity.
This important practical problem due to a crack in the tooth root is one of the most dangerous problems that can cause failure in gear unit operation.
This need for faster change, greater change, is one of the "complex, wicked, dangerous" problems that Schreiber likes to deal with, and she makes it sound less like a never-ending riddle and more like a knotty ball of wool that we've already started unravelling.
Toyota quickly suspended sales of its 2010 Lexus GX 460 sport utility vehicle on Tuesday after Consumer Reports magazine warned buyers that the model had a dangerous handling problem that could lead to a rollover and possibly "serious injury or death".
The magazine said its safety tests had determined the GX 460 had a dangerous handling problem that caused its rear end to swerve and had a risk of rollover.
