Finding the Fourth Proportional to 106.91, 160.33 and 34.75
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Solution
The fourth proportional to 106.91, 160.33 and 34.75 is: 52.11
Step by Step Solution
- Step 1: Write the proportion equation
106.91 : 160.33 = 34.75 : x - Step 2: Convert to fraction form
106.91/160.33 = 34.75/x - Step 3: Cross multiply
106.91x = 160.33 × 34.75 - Step 4: Simplify right side
106.91x = 5,571.47 - Step 5: Solve for x
x = 5,571.47/106.91 - Step 6: Final answer
x = 52.11
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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.