Finding the Fourth Proportional to 107.74, 161.43 and 77.26
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Solution
The fourth proportional to 107.74, 161.43 and 77.26 is: 115.76
Step by Step Solution
- Step 1: Write the proportion equation
107.74 : 161.43 = 77.26 : x - Step 2: Convert to fraction form
107.74/161.43 = 77.26/x - Step 3: Cross multiply
107.74x = 161.43 × 77.26 - Step 4: Simplify right side
107.74x = 12,472.08 - Step 5: Solve for x
x = 12,472.08/107.74 - Step 6: Final answer
x = 115.76
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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.