Finding the Fourth Proportional to 107.53, 161.18 and 97.70
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Solution
The fourth proportional to 107.53, 161.18 and 97.70 is: 146.45
Step by Step Solution
- Step 1: Write the proportion equation
107.53 : 161.18 = 97.70 : x - Step 2: Convert to fraction form
107.53/161.18 = 97.70/x - Step 3: Cross multiply
107.53x = 161.18 × 97.70 - Step 4: Simplify right side
107.53x = 15,747.29 - Step 5: Solve for x
x = 15,747.29/107.53 - Step 6: Final answer
x = 146.45
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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.