Finding the Fourth Proportional to 55.92, 83.84 and 19.85
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Solution
The fourth proportional to 55.92, 83.84 and 19.85 is: 29.75
Step by Step Solution
- Step 1: Write the proportion equation
55.92 : 83.84 = 19.85 : x - Step 2: Convert to fraction form
55.92/83.84 = 19.85/x - Step 3: Cross multiply
55.92x = 83.84 × 19.85 - Step 4: Simplify right side
55.92x = 1,663.71 - Step 5: Solve for x
x = 1,663.71/55.92 - Step 6: Final answer
x = 29.75
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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.