Finding the Fourth Proportional to 84.09, 116.07 and 54.99
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Solution
The fourth proportional to 84.09, 116.07 and 54.99 is: 75.90
Step by Step Solution
- Step 1: Write the proportion equation
84.09 : 116.07 = 54.99 : x - Step 2: Convert to fraction form
84.09/116.07 = 54.99/x - Step 3: Cross multiply
84.09x = 116.07 × 54.99 - Step 4: Simplify right side
84.09x = 6,382.69 - Step 5: Solve for x
x = 6,382.69/84.09 - Step 6: Final answer
x = 75.90
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.