Finding the Fourth Proportional to 76.74, 115.14 and 27.99
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Solution
The fourth proportional to 76.74, 115.14 and 27.99 is: 41.99
Step by Step Solution
- Step 1: Write the proportion equation
76.74 : 115.14 = 27.99 : x - Step 2: Convert to fraction form
76.74/115.14 = 27.99/x - Step 3: Cross multiply
76.74x = 115.14 × 27.99 - Step 4: Simplify right side
76.74x = 3,222.63 - Step 5: Solve for x
x = 3,222.63/76.74 - Step 6: Final answer
x = 41.99
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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.