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chrisbmx116-
Cheer up, you will only need 4 posts. If you build the whole lot out of 4x4 posts and 6x2 tops, sawn and treated, you'll get change out of £200. Easily built in a day (if there aren't blocks of concrete where the holes must go).
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Pitch the pergola roof? Although not strictly speaking a pergola but will get over your height issue.
ColinTheBald
Lanterne_Rouge
More posts! Sorry, your rear fence is on 3" posts as far as I can tell, you'll want 4" to support a pergola. You would also find it difficult to attach to concrete posts. You will want 7' of headroom beneath (tall guest +6").