Finding the Fourth Proportional to 146.19, 219.33 and 111.90
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Solution
The fourth proportional to 146.19, 219.33 and 111.90 is: 167.88
Step by Step Solution
- Step 1: Write the proportion equation
146.19 : 219.33 = 111.90 : x - Step 2: Convert to fraction form
146.19/219.33 = 111.90/x - Step 3: Cross multiply
146.19x = 219.33 × 111.90 - Step 4: Simplify right side
146.19x = 24,543.03 - Step 5: Solve for x
x = 24,543.03/146.19 - Step 6: Final answer
x = 167.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.