Finding the Fourth Proportional to 122.97, 184.14 and 98.49
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Solution
The fourth proportional to 122.97, 184.14 and 98.49 is: 147.48
Step by Step Solution
- Step 1: Write the proportion equation
122.97 : 184.14 = 98.49 : x - Step 2: Convert to fraction form
122.97/184.14 = 98.49/x - Step 3: Cross multiply
122.97x = 184.14 × 98.49 - Step 4: Simplify right side
122.97x = 18,135.95 - Step 5: Solve for x
x = 18,135.95/122.97 - Step 6: Final answer
x = 147.48
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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.