Finding the Fourth Proportional to 105.21, 144.81 and 76.05
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Solution
The fourth proportional to 105.21, 144.81 and 76.05 is: 104.67
Step by Step Solution
- Step 1: Write the proportion equation
105.21 : 144.81 = 76.05 : x - Step 2: Convert to fraction form
105.21/144.81 = 76.05/x - Step 3: Cross multiply
105.21x = 144.81 × 76.05 - Step 4: Simplify right side
105.21x = 11,012.80 - Step 5: Solve for x
x = 11,012.80/105.21 - Step 6: Final answer
x = 104.67
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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.