Finding the Fourth Proportional to 111.78, 168.28 and 75.94
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Solution
The fourth proportional to 111.78, 168.28 and 75.94 is: 114.32
Step by Step Solution
- Step 1: Write the proportion equation
111.78 : 168.28 = 75.94 : x - Step 2: Convert to fraction form
111.78/168.28 = 75.94/x - Step 3: Cross multiply
111.78x = 168.28 × 75.94 - Step 4: Simplify right side
111.78x = 12,778.57 - Step 5: Solve for x
x = 12,778.57/111.78 - Step 6: Final answer
x = 114.32
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.