"increasingly inappropriate" is correct and usable in written English.
You can use it when you want to describe something as being more and more inappropriate. For example, "The CEO's behaviour has become increasingly inappropriate in recent weeks."
As the fight wore on, its unofficial title seemed increasingly inappropriate.
They are out of control, taking ever greater risks with increasingly inappropriate drugs".
After the shocking images from Turkey this week, the nationalist approach pursued by many European leaders up until now looks increasingly inappropriate.
With superstores now ubiquitous, the corporations that build them have been grabbing for increasingly inappropriate parcels of land to continue their expansion.
He gives a wickedly caricatured performance as Polly's uncle, an aging roué with waved hair, a penchant for groping young girls' knees under the dining table, and the increasingly inappropriate nickname Boy.
Also, there is no guarantee that the caretaker leaders and their allies will be any less corrupt than those they have replaced.The next Pakistan?Indeed, it could be argued that the term "caretaker" is increasingly inappropriate given mounting signs that the administration aims to be around for some time.
Changing US policies make it "increasingly difficult and inappropriate for the United States to play the role of the world's toughest drug cop", the Brookings Institution writes.
As a corollary to the lesson that controls may strongly divert economic activity from an efficient allocation of resources, it became increasingly evident that inappropriate incentives can adversely affect economic behaviour.
Wine production, once the mainstay of colonial agriculture and exports, is now at only about one-tenth of its 1950s levels; because of Islam's ban on alcohol consumption, viticulture is increasingly deemed culturally inappropriate.
As Steve sets about trying to win back his estranged girlfriend, Robin Ms. Mannn), with shy half-measures, Chip jumps into the combat with a series of increasingly aggressive, bizarrely inappropriate acts, culminating in the bloody beating of a perceived rival (Mr. Wilson) for Robin's affections.
In the EU's Single Market, with its in-built mobility of labour, it is more accurate to talk of mobile workers from other EU member states than to use the inappropriate and increasingly toxic word "migrants" to describe them.
