Finding the Fourth Proportional to 122.19, 183.45 and 97.83
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Solution
The fourth proportional to 122.19, 183.45 and 97.83 is: 146.88
Step by Step Solution
- Step 1: Write the proportion equation
122.19 : 183.45 = 97.83 : x - Step 2: Convert to fraction form
122.19/183.45 = 97.83/x - Step 3: Cross multiply
122.19x = 183.45 × 97.83 - Step 4: Simplify right side
122.19x = 17,946.91 - Step 5: Solve for x
x = 17,946.91/122.19 - Step 6: Final answer
x = 146.88
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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.