Finding the Fourth Proportional to 76.72, 105.88 and 49.09
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Solution
The fourth proportional to 76.72, 105.88 and 49.09 is: 67.75
Step by Step Solution
- Step 1: Write the proportion equation
76.72 : 105.88 = 49.09 : x - Step 2: Convert to fraction form
76.72/105.88 = 49.09/x - Step 3: Cross multiply
76.72x = 105.88 × 49.09 - Step 4: Simplify right side
76.72x = 5,197.83 - Step 5: Solve for x
x = 5,197.83/76.72 - Step 6: Final answer
x = 67.75
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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.