Finding the Fourth Proportional to 82.05, 122.88 and 70.77
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Solution
The fourth proportional to 82.05, 122.88 and 70.77 is: 105.99
Step by Step Solution
- Step 1: Write the proportion equation
82.05 : 122.88 = 70.77 : x - Step 2: Convert to fraction form
82.05/122.88 = 70.77/x - Step 3: Cross multiply
82.05x = 122.88 × 70.77 - Step 4: Simplify right side
82.05x = 8,696.22 - Step 5: Solve for x
x = 8,696.22/82.05 - Step 6: Final answer
x = 105.99
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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.