Finding the Fourth Proportional to 138.25, 207.14 and 119.08
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Solution
The fourth proportional to 138.25, 207.14 and 119.08 is: 178.42
Step by Step Solution
- Step 1: Write the proportion equation
138.25 : 207.14 = 119.08 : x - Step 2: Convert to fraction form
138.25/207.14 = 119.08/x - Step 3: Cross multiply
138.25x = 207.14 × 119.08 - Step 4: Simplify right side
138.25x = 24,666.23 - Step 5: Solve for x
x = 24,666.23/138.25 - Step 6: Final answer
x = 178.42
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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.