Print the line with maximum value in one column for the same entry ID listed in another column

I have a tab separated file with 5 columns. I want to print the entire line when the value is maximum in column 3 for entries listed in column 4. Example input:

Col1 Col2 Col3 Col4 Col5
123  456   22  NM01  +  
675  564   21  NM01  +  
342  789   12  NM01  +  
231  452   56  NM02  +  
456  783   178 NM02  +

Expected outcome:

123  456   22  NM01  +  
456  783   178 NM02  +

Basically, print out the line when Col3 has the max value for entries in col4.

I am trying to use unix commands. I am new to this and not able to find examples of how to look up the max value in col3 for each case of col4 (ex: NM01, NM02..)