Just do not specify TargetType, but qualify the property, for example:
<Style x:Key="CommonStyle">
<Setter Property="Inline.TextDecorations" Value="StrikeThrough" />
</Style>
<TextBlock Style="{StaticResource CommonStyle}" Text="Lorem Ipsum" />
<TextBlock>
<Run Style="{StaticResource CommonStyle}" Text="Lorem" />
<Run Text="Ipsum" />
</TextBlock>
, BasedOn, , .