Finding the Fourth Proportional to 106.92, 160.38 and 42.75
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Solution
The fourth proportional to 106.92, 160.38 and 42.75 is: 64.13
Step by Step Solution
- Step 1: Write the proportion equation
106.92 : 160.38 = 42.75 : x - Step 2: Convert to fraction form
106.92/160.38 = 42.75/x - Step 3: Cross multiply
106.92x = 160.38 × 42.75 - Step 4: Simplify right side
106.92x = 6,856.25 - Step 5: Solve for x
x = 6,856.25/106.92 - Step 6: Final answer
x = 64.13
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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.