Finding the Fourth Proportional to 105.00, 157.38 and 50.83
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Solution
The fourth proportional to 105.00, 157.38 and 50.83 is: 76.18
Step by Step Solution
- Step 1: Write the proportion equation
105.00 : 157.38 = 50.83 : x - Step 2: Convert to fraction form
105.00/157.38 = 50.83/x - Step 3: Cross multiply
105.00x = 157.38 × 50.83 - Step 4: Simplify right side
105.00x = 7,999.04 - Step 5: Solve for x
x = 7,999.04/105.00 - Step 6: Final answer
x = 76.18
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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.