Math Problem Statement

3 : 2 = X : 120

Solution

We have the proportion:

32=X120\frac{3}{2} = \frac{X}{120}

To solve for XX, use cross-multiplication:

3×120=2×X3 \times 120 = 2 \times X

360=2X360 = 2X

Now, divide by 2:

X=3602=180X = \frac{360}{2} = 180

Final Answer:

X=180X = 180

Would you like a more detailed explanation or another example?

Related Questions:

  1. How do you solve proportions with unknown variables?
  2. What are some real-life applications of proportions?
  3. How do you check if two ratios form a proportion?
  4. How can proportions be used in scaling and resizing?
  5. What is the difference between a ratio and a proportion?

Tip:

When solving proportions, always cross-multiply to create an equation that's easier to solve!

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Cross Multiplication

Formulas

a/b = c/d → a × d = b × c

Theorems

Proportion Theorem

Suitable Grade Level

Grades 6-8