Could you post a link to one of the posts where you experience this issue, so I can take a closer look?
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Thanks for the extra details.
I checked the images in the posts, and they seem to be using a wrong width image attribute. width allows you to specify an image width in pixels, but for some reason the images in that post use percentages instead of pixels:
http://i.wpne.ws/htSH
I’m afraid the attribute doesn’t accept percentages, only pixels:
http://www.w3schools.com/tags/att_img_width.asp
It also creates conflicts with Jetpack’s Photon module, as Photon interprets that value as 100 pixels.
Do you use a plugin to change the width of those images, or did you make those changes manually when inserting the images? If so, could you try to revert to pixels, and let me know if it helps?