Final answer:
The Caucasian woman who had a hysterectomy with removal of ovaries at age 45 is at the greatest risk for osteoporosis.
Step-by-step explanation:
Osteoporosis is a condition in which bones lose mass and become more fragile, making them more likely to break. The risk factors for osteoporosis include older age, female sex, European or Asian ancestry, family history of osteoporosis, short stature and small bones, smoking, alcohol consumption, lack of exercise, vitamin D deficiency, poor nutrition, and consumption of soft drinks.
Based on the information provided, the woman at the greatest risk for osteoporosis would be the Caucasian woman who had a hysterectomy with removal of ovaries at age 45. This is because the removal of ovaries reduces the production of estrogen, a hormone that promotes bone health and density.