Finding the Fourth Proportional to 275.85, 413.70 and 111.27
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Solution
The fourth proportional to 275.85, 413.70 and 111.27 is: 166.87
Step by Step Solution
- Step 1: Write the proportion equation
275.85 : 413.70 = 111.27 : x - Step 2: Convert to fraction form
275.85/413.70 = 111.27/x - Step 3: Cross multiply
275.85x = 413.70 × 111.27 - Step 4: Simplify right side
275.85x = 46,031.98 - Step 5: Solve for x
x = 46,031.98/275.85 - Step 6: Final answer
x = 166.87
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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.