Finding the Fourth Proportional to 71.31, 107.00 and 71.09
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Solution
The fourth proportional to 71.31, 107.00 and 71.09 is: 106.66
Step by Step Solution
- Step 1: Write the proportion equation
71.31 : 107.00 = 71.09 : x - Step 2: Convert to fraction form
71.31/107.00 = 71.09/x - Step 3: Cross multiply
71.31x = 107.00 × 71.09 - Step 4: Simplify right side
71.31x = 7,606.41 - Step 5: Solve for x
x = 7,606.41/71.31 - Step 6: Final answer
x = 106.66
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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.