Finding the Fourth Proportional to 122.97, 184.36 and 71.67
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Solution
The fourth proportional to 122.97, 184.36 and 71.67 is: 107.45
Step by Step Solution
- Step 1: Write the proportion equation
122.97 : 184.36 = 71.67 : x - Step 2: Convert to fraction form
122.97/184.36 = 71.67/x - Step 3: Cross multiply
122.97x = 184.36 × 71.67 - Step 4: Simplify right side
122.97x = 13,213.08 - Step 5: Solve for x
x = 13,213.08/122.97 - Step 6: Final answer
x = 107.45
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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.