Finding the Fourth Proportional to 107.58, 160.97 and 66.99
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Solution
The fourth proportional to 107.58, 160.97 and 66.99 is: 100.23
Step by Step Solution
- Step 1: Write the proportion equation
107.58 : 160.97 = 66.99 : x - Step 2: Convert to fraction form
107.58/160.97 = 66.99/x - Step 3: Cross multiply
107.58x = 160.97 × 66.99 - Step 4: Simplify right side
107.58x = 10,783.05 - Step 5: Solve for x
x = 10,783.05/107.58 - Step 6: Final answer
x = 100.23
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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.