Select the correct answerThe fourth proportional to 2,12, and 3 isOptions11814225
Question
Select the correct answer
The fourth proportional to 2, 12, and 3 is
Options
- 118
- 142
- 225
Solution
1. ### Break Down the Problem
We need to find the fourth proportional to the numbers 2, 12, and 3. The fourth proportional to three numbers can be found using the proportion:
2. ### Relevant Concepts
The fourth proportional is defined as follows:
Given three quantities , the fourth proportional can be calculated using the formula:
Here, , , and .
3. ### Analysis and Detail
Let's substitute the values into the formula:
Calculating this step-by-step:
-
Calculate the product of and :
-
Now divide by :
4. ### Verify and Summarize
The fourth proportional to 2, 12, and 3 is calculated to be 18.
Final Answer
The fourth proportional to 2, 12, and 3 is .
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The 1st 3 terms of a proportion are 3, 9 and 12. The 4th term is:A. 18B. 24C. 30D. 36
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