Finding the Fourth Proportional to 75.85, 113.84 and 71.26
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Solution
The fourth proportional to 75.85, 113.84 and 71.26 is: 106.95
Step by Step Solution
- Step 1: Write the proportion equation
75.85 : 113.84 = 71.26 : x - Step 2: Convert to fraction form
75.85/113.84 = 71.26/x - Step 3: Cross multiply
75.85x = 113.84 × 71.26 - Step 4: Simplify right side
75.85x = 8,112.24 - Step 5: Solve for x
x = 8,112.24/75.85 - Step 6: Final answer
x = 106.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.