  New measurements by the NA49 experiment of the centrality dependence of
event-by-event fluctuations of the particle yield ratios
(K$^{+}$+K$^{-}$)/($\pi^{+}+\pi^{-}$), (p+$\bar{\text p}$)/($\pi^{+}+\pi^{-}$),
and (K$^{+}$+K$^{-}$)/(p+$\bar{\text p}$) are presented for Pb+Pb collisions at
158$A$ GeV. The absolute values of the dynamical fluctuations of these ratios,
quantified by the measure $\sigma_{\text{dyn}}$, increase by about a factor of
two from central to semi-peripheral collisions. Multiplicity scaling scenarios
are tested and found to apply for both the centrality and the previously
published energy dependence of the (K$^{+}$+K$^{-}$)/($\pi^{+}+\pi^{-}$) and
(p+$\bar{\text p}$)/($\pi^{+}+\pi^{-}$) ratio fluctuations. A description of
the centrality and energy dependence of (K$^{+}$+K$^{-}$)/(p+$\bar{\text p}$)
ratio fluctuations by a common scaling prescription is not possible since there
is a sign change in the energy dependence.
