Finding the Fourth Proportional to 81.74, 122.61 and 49.23
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Solution
The fourth proportional to 81.74, 122.61 and 49.23 is: 73.85
Step by Step Solution
- Step 1: Write the proportion equation
81.74 : 122.61 = 49.23 : x - Step 2: Convert to fraction form
81.74/122.61 = 49.23/x - Step 3: Cross multiply
81.74x = 122.61 × 49.23 - Step 4: Simplify right side
81.74x = 6,036.09 - Step 5: Solve for x
x = 6,036.09/81.74 - Step 6: Final answer
x = 73.85
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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.