Finding the Fourth Proportional to 81.66, 112 and 77.25
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Solution
The fourth proportional to 81.66, 112 and 77.25 is: 105.95
Step by Step Solution
- Step 1: Write the proportion equation
81.66 : 112 = 77.25 : x - Step 2: Convert to fraction form
81.66/112 = 77.25/x - Step 3: Cross multiply
81.66x = 112 × 77.25 - Step 4: Simplify right side
81.66x = 8,652 - Step 5: Solve for x
x = 8,652/81.66 - Step 6: Final answer
x = 105.95
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.