Finding the Fourth Proportional to 105.01, 157.53 and 32.88
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Solution
The fourth proportional to 105.01, 157.53 and 32.88 is: 49.32
Step by Step Solution
- Step 1: Write the proportion equation
105.01 : 157.53 = 32.88 : x - Step 2: Convert to fraction form
105.01/157.53 = 32.88/x - Step 3: Cross multiply
105.01x = 157.53 × 32.88 - Step 4: Simplify right side
105.01x = 5,179.59 - Step 5: Solve for x
x = 5,179.59/105.01 - Step 6: Final answer
x = 49.32
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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.