Finding the Fourth Proportional to 36.30, 54.52 and 31.74
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Solution
The fourth proportional to 36.30, 54.52 and 31.74 is: 47.68
Step by Step Solution
- Step 1: Write the proportion equation
36.30 : 54.52 = 31.74 : x - Step 2: Convert to fraction form
36.30/54.52 = 31.74/x - Step 3: Cross multiply
36.30x = 54.52 × 31.74 - Step 4: Simplify right side
36.30x = 1,730.67 - Step 5: Solve for x
x = 1,730.67/36.30 - Step 6: Final answer
x = 47.68
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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.