Finding the Fourth Proportional to 122.24, 183.41 and 76.63
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Solution
The fourth proportional to 122.24, 183.41 and 76.63 is: 114.98
Step by Step Solution
- Step 1: Write the proportion equation
122.24 : 183.41 = 76.63 : x - Step 2: Convert to fraction form
122.24/183.41 = 76.63/x - Step 3: Cross multiply
122.24x = 183.41 × 76.63 - Step 4: Simplify right side
122.24x = 14,054.93 - Step 5: Solve for x
x = 14,054.93/122.24 - Step 6: Final answer
x = 114.98
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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.