  A systematic shell model description of the experimental Gamow-Teller
transition strength distributions in $^{42}$Ti, $^{46}$Cr, $^{50}$Fe and
$^{54}$Ni is presented. These transitions have been recently measured via
$\beta$ decay of these $T_z$=-1 nuclei, produced in fragmentation reactions at
GSI and also with ($^3${He},$t$) charge-exchange (CE) reactions corresponding
to $T_z = + 1$ to $T_z = 0$ carried out at RCNP-Osaka.The calculations are
performed in the $pf$ model space, using the GXPF1a and KB3G effective
interactions. Qualitative agreement is obtained for the individual transitions,
while the calculated summed transition strengths closely reproduce the observed
ones.
