Finding the Fourth Proportional to 82.08, 112.67 and 74.79
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Solution
The fourth proportional to 82.08, 112.67 and 74.79 is: 102.66
Step by Step Solution
- Step 1: Write the proportion equation
82.08 : 112.67 = 74.79 : x - Step 2: Convert to fraction form
82.08/112.67 = 74.79/x - Step 3: Cross multiply
82.08x = 112.67 × 74.79 - Step 4: Simplify right side
82.08x = 8,426.22 - Step 5: Solve for x
x = 8,426.22/82.08 - Step 6: Final answer
x = 102.66
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.