Finding the Fourth Proportional to 107.99, 149.09 and 76.94
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Solution
The fourth proportional to 107.99, 149.09 and 76.94 is: 106.22
Step by Step Solution
- Step 1: Write the proportion equation
107.99 : 149.09 = 76.94 : x - Step 2: Convert to fraction form
107.99/149.09 = 76.94/x - Step 3: Cross multiply
107.99x = 149.09 × 76.94 - Step 4: Simplify right side
107.99x = 11,470.41 - Step 5: Solve for x
x = 11,470.41/107.99 - Step 6: Final answer
x = 106.22
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.