Well actually earnings increases pretty much are correlated with inflation, sort of required for a well functioning economy. Inflation is a measure of a basket of common household goods a US citizen would purchase, thus if inflation outpaces wage growth people stop being able to live and quality of life plummets and eventually would disappear. Also inflation here being discussed is US inflation thus should correlate that to US wage growth. Historically since 1951 Wage growth has outpaced inflation
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Looking at the annual growths you see very few times inflation outpaced wage growth. Any time inflation outpaces wage growth for extended periods of time there will be large macroeconomic issues and if it continues consistently you have situations like Venezuela.
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Here is looking at a comparison from 2007 (peak market before crash) until 2017. You see them pretty much in lock step. So overall the past 10 years has shown we can expect wage growth (median is used here which is a better measure for middle class) and inflation to be similar.
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Looking at 1990 forward (last 30 years or so) we see wage growth still outpacing.
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Median Wage (From Social Security Admin)
https://www.ssa.gov/oact/cola/AWI.html
CPI (Measure of Inflation for US)
https://fred.stlouisfed.org/series/CPIAUCSL