Finding the Fourth Proportional to 163.14, 225.09 and 97.62
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Solution
The fourth proportional to 163.14, 225.09 and 97.62 is: 134.69
Step by Step Solution
- Step 1: Write the proportion equation
163.14 : 225.09 = 97.62 : x - Step 2: Convert to fraction form
163.14/225.09 = 97.62/x - Step 3: Cross multiply
163.14x = 225.09 × 97.62 - Step 4: Simplify right side
163.14x = 21,973.29 - Step 5: Solve for x
x = 21,973.29/163.14 - Step 6: Final answer
x = 134.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.