Finding the Fourth Proportional to 129.97, 194.99 and 65.84
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Solution
The fourth proportional to 129.97, 194.99 and 65.84 is: 98.78
Step by Step Solution
- Step 1: Write the proportion equation
129.97 : 194.99 = 65.84 : x - Step 2: Convert to fraction form
129.97/194.99 = 65.84/x - Step 3: Cross multiply
129.97x = 194.99 × 65.84 - Step 4: Simplify right side
129.97x = 12,838.14 - Step 5: Solve for x
x = 12,838.14/129.97 - Step 6: Final answer
x = 98.78
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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.