Finding the Fourth Proportional to 37.24, 51.37 and 24.12
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Solution
The fourth proportional to 37.24, 51.37 and 24.12 is: 33.27
Step by Step Solution
- Step 1: Write the proportion equation
37.24 : 51.37 = 24.12 : x - Step 2: Convert to fraction form
37.24/51.37 = 24.12/x - Step 3: Cross multiply
37.24x = 51.37 × 24.12 - Step 4: Simplify right side
37.24x = 1,238.98 - Step 5: Solve for x
x = 1,238.98/37.24 - Step 6: Final answer
x = 33.27
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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.