Finding the Fourth Proportional to 75.26, 112.84 and 40.99
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Solution
The fourth proportional to 75.26, 112.84 and 40.99 is: 61.45
Step by Step Solution
- Step 1: Write the proportion equation
75.26 : 112.84 = 40.99 : x - Step 2: Convert to fraction form
75.26/112.84 = 40.99/x - Step 3: Cross multiply
75.26x = 112.84 × 40.99 - Step 4: Simplify right side
75.26x = 4,624.93 - Step 5: Solve for x
x = 4,624.93/75.26 - Step 6: Final answer
x = 61.45
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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.