Finding the Fourth Proportional to 107, 160.50 and 31
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Solution
The fourth proportional to 107, 160.50 and 31 is: 46.50
Step by Step Solution
- Step 1: Write the proportion equation
107 : 160.50 = 31 : x - Step 2: Convert to fraction form
107/160.50 = 31/x - Step 3: Cross multiply
107x = 160.50 × 31 - Step 4: Simplify right side
107x = 4,975.50 - Step 5: Solve for x
x = 4,975.50/107 - Step 6: Final answer
x = 46.50
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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.