Finding the Fourth Proportional to 81.74, 122.82 and 68.96
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Solution
The fourth proportional to 81.74, 122.82 and 68.96 is: 103.62
Step by Step Solution
- Step 1: Write the proportion equation
81.74 : 122.82 = 68.96 : x - Step 2: Convert to fraction form
81.74/122.82 = 68.96/x - Step 3: Cross multiply
81.74x = 122.82 × 68.96 - Step 4: Simplify right side
81.74x = 8,469.67 - Step 5: Solve for x
x = 8,469.67/81.74 - Step 6: Final answer
x = 103.62
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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.