For all intermediate latitudes, the centripetal acceleration is less due to less radius from the axis (for the same rotation rate). Also, the centripetal acceleration isn't toward the center of Earth, but toward the axis of Earth. Combine the two terms (centripetal acceleration and true gravity), and the measured gravity isn't directly toward Earth's center. What actually happens, is that the curvature of Earth conforms to the local "plumb" direction, so that it still seems to be down, even though there is a slight offset.
Interesting fact: that the Mississippi river flows "uphill". As in, it flows from closer to Earth's center to farther from Earth's center. It only seems to be downhill, because it is downhill if measured relative to the bulging of Earth's "sea level". Centrifuging dominates true gravity in causing the Mississippi river to flow.