Finding the Fourth Proportional to 105.95, 146.14 and 82.62
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Solution
The fourth proportional to 105.95, 146.14 and 82.62 is: 113.96
Step by Step Solution
- Step 1: Write the proportion equation
105.95 : 146.14 = 82.62 : x - Step 2: Convert to fraction form
105.95/146.14 = 82.62/x - Step 3: Cross multiply
105.95x = 146.14 × 82.62 - Step 4: Simplify right side
105.95x = 12,073.88 - Step 5: Solve for x
x = 12,073.88/105.95 - Step 6: Final answer
x = 113.96
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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.