Finding the Fourth Proportional to 201.76, 302.62 and 71.75
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Solution
The fourth proportional to 201.76, 302.62 and 71.75 is: 107.62
Step by Step Solution
- Step 1: Write the proportion equation
201.76 : 302.62 = 71.75 : x - Step 2: Convert to fraction form
201.76/302.62 = 71.75/x - Step 3: Cross multiply
201.76x = 302.62 × 71.75 - Step 4: Simplify right side
201.76x = 21,712.99 - Step 5: Solve for x
x = 21,712.99/201.76 - Step 6: Final answer
x = 107.62
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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.