Finding the Fourth Proportional to 46.83, 70.27 and 22.78
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Solution
The fourth proportional to 46.83, 70.27 and 22.78 is: 34.18
Step by Step Solution
- Step 1: Write the proportion equation
46.83 : 70.27 = 22.78 : x - Step 2: Convert to fraction form
46.83/70.27 = 22.78/x - Step 3: Cross multiply
46.83x = 70.27 × 22.78 - Step 4: Simplify right side
46.83x = 1,600.78 - Step 5: Solve for x
x = 1,600.78/46.83 - Step 6: Final answer
x = 34.18
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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.