Finding the Fourth Proportional to 120.25, 166.02 and 76.05
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Solution
The fourth proportional to 120.25, 166.02 and 76.05 is: 104.99
Step by Step Solution
- Step 1: Write the proportion equation
120.25 : 166.02 = 76.05 : x - Step 2: Convert to fraction form
120.25/166.02 = 76.05/x - Step 3: Cross multiply
120.25x = 166.02 × 76.05 - Step 4: Simplify right side
120.25x = 12,625.54 - Step 5: Solve for x
x = 12,625.54/120.25 - Step 6: Final answer
x = 104.99
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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.