Finding the Fourth Proportional to 120.36, 180.08 and 106.68
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Solution
The fourth proportional to 120.36, 180.08 and 106.68 is: 159.61
Step by Step Solution
- Step 1: Write the proportion equation
120.36 : 180.08 = 106.68 : x - Step 2: Convert to fraction form
120.36/180.08 = 106.68/x - Step 3: Cross multiply
120.36x = 180.08 × 106.68 - Step 4: Simplify right side
120.36x = 19,210.93 - Step 5: Solve for x
x = 19,210.93/120.36 - Step 6: Final answer
x = 159.61
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.