Finding the Fourth Proportional to 181.26, 271.92 and 73.14
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Solution
The fourth proportional to 181.26, 271.92 and 73.14 is: 109.72
Step by Step Solution
- Step 1: Write the proportion equation
181.26 : 271.92 = 73.14 : x - Step 2: Convert to fraction form
181.26/271.92 = 73.14/x - Step 3: Cross multiply
181.26x = 271.92 × 73.14 - Step 4: Simplify right side
181.26x = 19,888.23 - Step 5: Solve for x
x = 19,888.23/181.26 - Step 6: Final answer
x = 109.72
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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.