Finding the Fourth Proportional to 82, 113.16 and 47.52
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Solution
The fourth proportional to 82, 113.16 and 47.52 is: 65.58
Step by Step Solution
- Step 1: Write the proportion equation
82 : 113.16 = 47.52 : x - Step 2: Convert to fraction form
82/113.16 = 47.52/x - Step 3: Cross multiply
82x = 113.16 × 47.52 - Step 4: Simplify right side
82x = 5,377.36 - Step 5: Solve for x
x = 5,377.36/82 - Step 6: Final answer
x = 65.58
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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.