Finding the Fourth Proportional to 106.36, 146.62 and 82.99
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Solution
The fourth proportional to 106.36, 146.62 and 82.99 is: 114.41
Step by Step Solution
- Step 1: Write the proportion equation
106.36 : 146.62 = 82.99 : x - Step 2: Convert to fraction form
106.36/146.62 = 82.99/x - Step 3: Cross multiply
106.36x = 146.62 × 82.99 - Step 4: Simplify right side
106.36x = 12,168.18 - Step 5: Solve for x
x = 12,168.18/106.36 - Step 6: Final answer
x = 114.41
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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.