Finding the Fourth Proportional to 105.13, 157.67 and 32.00
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Solution
The fourth proportional to 105.13, 157.67 and 32.00 is: 47.98
Step by Step Solution
- Step 1: Write the proportion equation
105.13 : 157.67 = 32.00 : x - Step 2: Convert to fraction form
105.13/157.67 = 32.00/x - Step 3: Cross multiply
105.13x = 157.67 × 32.00 - Step 4: Simplify right side
105.13x = 5,044.61 - Step 5: Solve for x
x = 5,044.61/105.13 - Step 6: Final answer
x = 47.98
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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.