Finding the Fourth Proportional to 105.15, 157.74 and 33
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Solution
The fourth proportional to 105.15, 157.74 and 33 is: 49.51
Step by Step Solution
- Step 1: Write the proportion equation
105.15 : 157.74 = 33 : x - Step 2: Convert to fraction form
105.15/157.74 = 33/x - Step 3: Cross multiply
105.15x = 157.74 × 33 - Step 4: Simplify right side
105.15x = 5,205.26 - Step 5: Solve for x
x = 5,205.26/105.15 - Step 6: Final answer
x = 49.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.