Finding the Fourth Proportional to 122.68, 184.00 and 76.88
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Solution
The fourth proportional to 122.68, 184.00 and 76.88 is: 115.32
Step by Step Solution
- Step 1: Write the proportion equation
122.68 : 184.00 = 76.88 : x - Step 2: Convert to fraction form
122.68/184.00 = 76.88/x - Step 3: Cross multiply
122.68x = 184.00 × 76.88 - Step 4: Simplify right side
122.68x = 14,146.68 - Step 5: Solve for x
x = 14,146.68/122.68 - Step 6: Final answer
x = 115.32
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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.