Finding the Fourth Proportional to 37.09, 51.17 and 23.26
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Solution
The fourth proportional to 37.09, 51.17 and 23.26 is: 32.09
Step by Step Solution
- Step 1: Write the proportion equation
37.09 : 51.17 = 23.26 : x - Step 2: Convert to fraction form
37.09/51.17 = 23.26/x - Step 3: Cross multiply
37.09x = 51.17 × 23.26 - Step 4: Simplify right side
37.09x = 1,190.23 - Step 5: Solve for x
x = 1,190.23/37.09 - Step 6: Final answer
x = 32.09
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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.