Finding the Fourth Proportional to 32.09, 48.06 and 24.05
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Solution
The fourth proportional to 32.09, 48.06 and 24.05 is: 36.02
Step by Step Solution
- Step 1: Write the proportion equation
32.09 : 48.06 = 24.05 : x - Step 2: Convert to fraction form
32.09/48.06 = 24.05/x - Step 3: Cross multiply
32.09x = 48.06 × 24.05 - Step 4: Simplify right side
32.09x = 1,155.84 - Step 5: Solve for x
x = 1,155.84/32.09 - Step 6: Final answer
x = 36.02
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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.