To solve the expression \( 24.5 \times 1.94 + 11.9 \times 5.6 - 1.64 \times 0.07 \), we can perform the calculations step by step.
Calculate \( 24.5 \times 1.94 \): \[ 24.5 \times 1.94 = 47.63 \]
Calculate \( 11.9 \times 5.6 \): \[ 11.9 \times 5.6 = 66.64 \]
Calculate \( 1.64 \times 0.07 \): \[ 1.64 \times 0.07 = 0.1148 \]
Now we can combine these results: \[ 47.63 + 66.64 - 0.1148 \]
First add \( 47.63 \) and \( 66.64 \): \[ 47.63 + 66.64 = 114.27 \]
Now subtract \( 0.1148 \) from \( 114.27 \): \[ 114.27 - 0.1148 = 114.1552 \]
Therefore, the final result is: \[ \boxed{114.1552} \]