Finding the Fourth Proportional to 78.75, 108.71 and 45.99
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Solution
The fourth proportional to 78.75, 108.71 and 45.99 is: 63.49
Step by Step Solution
- Step 1: Write the proportion equation
78.75 : 108.71 = 45.99 : x - Step 2: Convert to fraction form
78.75/108.71 = 45.99/x - Step 3: Cross multiply
78.75x = 108.71 × 45.99 - Step 4: Simplify right side
78.75x = 4,999.57 - Step 5: Solve for x
x = 4,999.57/78.75 - Step 6: Final answer
x = 63.49
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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.