Finding the Fourth Proportional to 122.14, 182.97 and 97.81
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Solution
The fourth proportional to 122.14, 182.97 and 97.81 is: 146.52
Step by Step Solution
- Step 1: Write the proportion equation
122.14 : 182.97 = 97.81 : x - Step 2: Convert to fraction form
122.14/182.97 = 97.81/x - Step 3: Cross multiply
122.14x = 182.97 × 97.81 - Step 4: Simplify right side
122.14x = 17,896.30 - Step 5: Solve for x
x = 17,896.30/122.14 - Step 6: Final answer
x = 146.52
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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.