Finding the Fourth Proportional to 65.40, 97.78 and 55.37
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Solution
The fourth proportional to 65.40, 97.78 and 55.37 is: 82.78
Step by Step Solution
- Step 1: Write the proportion equation
65.40 : 97.78 = 55.37 : x - Step 2: Convert to fraction form
65.40/97.78 = 55.37/x - Step 3: Cross multiply
65.40x = 97.78 × 55.37 - Step 4: Simplify right side
65.40x = 5,414.08 - Step 5: Solve for x
x = 5,414.08/65.40 - Step 6: Final answer
x = 82.78
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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.