Finding the Fourth Proportional to 120.69, 180.53 and 80.09
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Solution
The fourth proportional to 120.69, 180.53 and 80.09 is: 119.80
Step by Step Solution
- Step 1: Write the proportion equation
120.69 : 180.53 = 80.09 : x - Step 2: Convert to fraction form
120.69/180.53 = 80.09/x - Step 3: Cross multiply
120.69x = 180.53 × 80.09 - Step 4: Simplify right side
120.69x = 14,458.32 - Step 5: Solve for x
x = 14,458.32/120.69 - Step 6: Final answer
x = 119.80
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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.