Finding the Fourth Proportional to 136, 187.68 and 77.78
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Solution
The fourth proportional to 136, 187.68 and 77.78 is: 107.34
Step by Step Solution
- Step 1: Write the proportion equation
136 : 187.68 = 77.78 : x - Step 2: Convert to fraction form
136/187.68 = 77.78/x - Step 3: Cross multiply
136x = 187.68 × 77.78 - Step 4: Simplify right side
136x = 14,597.75 - Step 5: Solve for x
x = 14,597.75/136 - Step 6: Final answer
x = 107.34
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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.