Finding the Fourth Proportional to 82.55, 113.91 and 45.69
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Solution
The fourth proportional to 82.55, 113.91 and 45.69 is: 63.05
Step by Step Solution
- Step 1: Write the proportion equation
82.55 : 113.91 = 45.69 : x - Step 2: Convert to fraction form
82.55/113.91 = 45.69/x - Step 3: Cross multiply
82.55x = 113.91 × 45.69 - Step 4: Simplify right side
82.55x = 5,204.55 - Step 5: Solve for x
x = 5,204.55/82.55 - Step 6: Final answer
x = 63.05
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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.