Finding the Fourth Proportional to 82.08, 122.94 and 82.08
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Solution
The fourth proportional to 82.08, 122.94 and 82.08 is: 122.94
Step by Step Solution
- Step 1: Write the proportion equation
82.08 : 122.94 = 82.08 : x - Step 2: Convert to fraction form
82.08/122.94 = 82.08/x - Step 3: Cross multiply
82.08x = 122.94 × 82.08 - Step 4: Simplify right side
82.08x = 10,090.92 - Step 5: Solve for x
x = 10,090.92/82.08 - Step 6: Final answer
x = 122.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.