Finding the Fourth Proportional to 106.09, 146.06 and 82.75
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Solution
The fourth proportional to 106.09, 146.06 and 82.75 is: 113.92
Step by Step Solution
- Step 1: Write the proportion equation
106.09 : 146.06 = 82.75 : x - Step 2: Convert to fraction form
106.09/146.06 = 82.75/x - Step 3: Cross multiply
106.09x = 146.06 × 82.75 - Step 4: Simplify right side
106.09x = 12,086.05 - Step 5: Solve for x
x = 12,086.05/106.09 - Step 6: Final answer
x = 113.92
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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.