VERTICO. IV. Environmental Effects on the Gas Distribution and Star Formation Efficiency of Virgo Cluster Spirals

We measure the molecular-to-atomic gas ratio, $R_{\rm mol}$, and star formation rate (SFR) per unit molecular mass, SFE$_{\rm in 38 nearby galaxies selected from Virgo Environment Traced CO (VERTICO) survey. determine their scale-lengths for stellar components find a roughly 3:5 ratio between them compared to $\sim$1:1 field galaxies, indicating that emission is more centrally concentrated than stars. compute mol}$ as function of different physical quantities. While spatially-resolved on average decreases with increasing radius, we mean within effective radius e}$, mol}(r<R_{\rm e})$, shows systematic increase level H$_{\rm I}$, truncation and/or asymmetry (H$_{\rm I}$ perturbation). Analysis molecular- atomic-to-stellar mass ratios $R^{\rm mol}_{\star}(r<R_{\rm e})$ atom}_{\star}(r<R_{\rm VERTICO have increasingly lower larger levels I}$perturbation (compared matched mass), but no significant change e})$. also clear decrease perturbed I}$. Therefore, field, are compact relation distribution, atomic increases efficiency which forms (abridged)