Finding the Fourth Proportional to 82.05, 113.30 and 72.19
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Solution
The fourth proportional to 82.05, 113.30 and 72.19 is: 99.68
Step by Step Solution
- Step 1: Write the proportion equation
82.05 : 113.30 = 72.19 : x - Step 2: Convert to fraction form
82.05/113.30 = 72.19/x - Step 3: Cross multiply
82.05x = 113.30 × 72.19 - Step 4: Simplify right side
82.05x = 8,179.13 - Step 5: Solve for x
x = 8,179.13/82.05 - Step 6: Final answer
x = 99.68
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.