Finding the Fourth Proportional to 71.96, 107.35 and 71.05
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Solution
The fourth proportional to 71.96, 107.35 and 71.05 is: 105.99
Step by Step Solution
- Step 1: Write the proportion equation
71.96 : 107.35 = 71.05 : x - Step 2: Convert to fraction form
71.96/107.35 = 71.05/x - Step 3: Cross multiply
71.96x = 107.35 × 71.05 - Step 4: Simplify right side
71.96x = 7,627.22 - Step 5: Solve for x
x = 7,627.22/71.96 - Step 6: Final answer
x = 105.99
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.