Laterite soils are widely available in tropical and subtropical countries and mainly used for engineering application in Cameroon as other part in the world. Recent studies demonstrated the use of laterite as promising solid precursor for the synthesis of geomaterials ensuring high performance when activated with an acidic solution. However, the synthesis required at least one week to set in comparison with alkaline solution needed few hours. The present study aim at replacing calcined up to 10 wt.% of Al(OH)3, Ca(OH)2 and Mg(OH)2 and then evaluate their influence on fresh and hardened properties of geomaterials consolidated with phosphoric acid (pH ≤ 2). The ratio of acid solution to calcined laterite-additive was maintained at 0.8 in all the formulations. The shortest setting time (3h) was recorded on sample LAPCa attributable to the neutralization medium suggesting the formation of calcium silicate hydrate (CSH) which rendered the setting time shorter on this formulation. The compressive strength of LAP, LAPAl, LAPCa and LAPMg samples is 36.3±1.28 MPa, 27.2±0.89 MPa, 29.9±1.02 MPa and 46.5±1.43 MPa, respectively. The obtained specimens could be found application in building construction.