Finding the Fourth Proportional to 81.44, 122.14 and 30.08
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Solution
The fourth proportional to 81.44, 122.14 and 30.08 is: 45.11
Step by Step Solution
- Step 1: Write the proportion equation
81.44 : 122.14 = 30.08 : x - Step 2: Convert to fraction form
81.44/122.14 = 30.08/x - Step 3: Cross multiply
81.44x = 122.14 × 30.08 - Step 4: Simplify right side
81.44x = 3,673.29 - Step 5: Solve for x
x = 3,673.29/81.44 - Step 6: Final answer
x = 45.11
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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.