Finding the Fourth Proportional to 32.06, 44.22 and 22.84
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Solution
The fourth proportional to 32.06, 44.22 and 22.84 is: 31.50
Step by Step Solution
- Step 1: Write the proportion equation
32.06 : 44.22 = 22.84 : x - Step 2: Convert to fraction form
32.06/44.22 = 22.84/x - Step 3: Cross multiply
32.06x = 44.22 × 22.84 - Step 4: Simplify right side
32.06x = 1,009.98 - Step 5: Solve for x
x = 1,009.98/32.06 - Step 6: Final answer
x = 31.50
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.