Finding the Fourth Proportional to 75.96, 104.10 and 73.44
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Solution
The fourth proportional to 75.96, 104.10 and 73.44 is: 100.65
Step by Step Solution
- Step 1: Write the proportion equation
75.96 : 104.10 = 73.44 : x - Step 2: Convert to fraction form
75.96/104.10 = 73.44/x - Step 3: Cross multiply
75.96x = 104.10 × 73.44 - Step 4: Simplify right side
75.96x = 7,645.10 - Step 5: Solve for x
x = 7,645.10/75.96 - Step 6: Final answer
x = 100.65
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.