Finding the Fourth Proportional to 75.26, 113.09 and 70.40
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Solution
The fourth proportional to 75.26, 113.09 and 70.40 is: 105.79
Step by Step Solution
- Step 1: Write the proportion equation
75.26 : 113.09 = 70.40 : x - Step 2: Convert to fraction form
75.26/113.09 = 70.40/x - Step 3: Cross multiply
75.26x = 113.09 × 70.40 - Step 4: Simplify right side
75.26x = 7,961.54 - Step 5: Solve for x
x = 7,961.54/75.26 - Step 6: Final answer
x = 105.79
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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.