Finding the Fourth Proportional to 76.05, 113.74 and 67.99
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Solution
The fourth proportional to 76.05, 113.74 and 67.99 is: 101.69
Step by Step Solution
- Step 1: Write the proportion equation
76.05 : 113.74 = 67.99 : x - Step 2: Convert to fraction form
76.05/113.74 = 67.99/x - Step 3: Cross multiply
76.05x = 113.74 × 67.99 - Step 4: Simplify right side
76.05x = 7,733.18 - Step 5: Solve for x
x = 7,733.18/76.05 - Step 6: Final answer
x = 101.69
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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.