Finding the Fourth Proportional to 76.50, 105.50 and 51.26
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Solution
The fourth proportional to 76.50, 105.50 and 51.26 is: 70.68
Step by Step Solution
- Step 1: Write the proportion equation
76.50 : 105.50 = 51.26 : x - Step 2: Convert to fraction form
76.50/105.50 = 51.26/x - Step 3: Cross multiply
76.50x = 105.50 × 51.26 - Step 4: Simplify right side
76.50x = 5,407.15 - Step 5: Solve for x
x = 5,407.15/76.50 - Step 6: Final answer
x = 70.68
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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.