Finding the Fourth Proportional to 189.70, 284.26 and 74.02
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Solution
The fourth proportional to 189.70, 284.26 and 74.02 is: 110.92
Step by Step Solution
- Step 1: Write the proportion equation
189.70 : 284.26 = 74.02 : x - Step 2: Convert to fraction form
189.70/284.26 = 74.02/x - Step 3: Cross multiply
189.70x = 284.26 × 74.02 - Step 4: Simplify right side
189.70x = 21,040.93 - Step 5: Solve for x
x = 21,040.93/189.70 - Step 6: Final answer
x = 110.92
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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.