Finding the Fourth Proportional to 122.49, 169.16 and 97.99
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Solution
The fourth proportional to 122.49, 169.16 and 97.99 is: 135.32
Step by Step Solution
- Step 1: Write the proportion equation
122.49 : 169.16 = 97.99 : x - Step 2: Convert to fraction form
122.49/169.16 = 97.99/x - Step 3: Cross multiply
122.49x = 169.16 × 97.99 - Step 4: Simplify right side
122.49x = 16,575.08 - Step 5: Solve for x
x = 16,575.08/122.49 - Step 6: Final answer
x = 135.32
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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.