Finding the Fourth Proportional to 163.22, 225.24 and 97.74
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Solution
The fourth proportional to 163.22, 225.24 and 97.74 is: 134.88
Step by Step Solution
- Step 1: Write the proportion equation
163.22 : 225.24 = 97.74 : x - Step 2: Convert to fraction form
163.22/225.24 = 97.74/x - Step 3: Cross multiply
163.22x = 225.24 × 97.74 - Step 4: Simplify right side
163.22x = 22,014.96 - Step 5: Solve for x
x = 22,014.96/163.22 - Step 6: Final answer
x = 134.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.