Finding the Fourth Proportional to 122.26, 183.40 and 41.09
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Solution
The fourth proportional to 122.26, 183.40 and 41.09 is: 61.64
Step by Step Solution
- Step 1: Write the proportion equation
122.26 : 183.40 = 41.09 : x - Step 2: Convert to fraction form
122.26/183.40 = 41.09/x - Step 3: Cross multiply
122.26x = 183.40 × 41.09 - Step 4: Simplify right side
122.26x = 7,535.91 - Step 5: Solve for x
x = 7,535.91/122.26 - Step 6: Final answer
x = 61.64
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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.