Finding the Fourth Proportional to 122.08, 183 and 64.24
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Solution
The fourth proportional to 122.08, 183 and 64.24 is: 96.30
Step by Step Solution
- Step 1: Write the proportion equation
122.08 : 183 = 64.24 : x - Step 2: Convert to fraction form
122.08/183 = 64.24/x - Step 3: Cross multiply
122.08x = 183 × 64.24 - Step 4: Simplify right side
122.08x = 11,755.92 - Step 5: Solve for x
x = 11,755.92/122.08 - Step 6: Final answer
x = 96.30
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.