Finding the Fourth Proportional to 122.14, 183.36 and 76.58
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Solution
The fourth proportional to 122.14, 183.36 and 76.58 is: 114.96
Step by Step Solution
- Step 1: Write the proportion equation
122.14 : 183.36 = 76.58 : x - Step 2: Convert to fraction form
122.14/183.36 = 76.58/x - Step 3: Cross multiply
122.14x = 183.36 × 76.58 - Step 4: Simplify right side
122.14x = 14,041.77 - Step 5: Solve for x
x = 14,041.77/122.14 - Step 6: Final answer
x = 114.96
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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.