Finding the Fourth Proportional to 163.80, 226.05 and 97.43
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Solution
The fourth proportional to 163.80, 226.05 and 97.43 is: 134.46
Step by Step Solution
- Step 1: Write the proportion equation
163.80 : 226.05 = 97.43 : x - Step 2: Convert to fraction form
163.80/226.05 = 97.43/x - Step 3: Cross multiply
163.80x = 226.05 × 97.43 - Step 4: Simplify right side
163.80x = 22,024.05 - Step 5: Solve for x
x = 22,024.05/163.80 - Step 6: Final answer
x = 134.46
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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.