Finding the Fourth Proportional to 105.86, 146 and 76.76
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Solution
The fourth proportional to 105.86, 146 and 76.76 is: 105.87
Step by Step Solution
- Step 1: Write the proportion equation
105.86 : 146 = 76.76 : x - Step 2: Convert to fraction form
105.86/146 = 76.76/x - Step 3: Cross multiply
105.86x = 146 × 76.76 - Step 4: Simplify right side
105.86x = 11,206.96 - Step 5: Solve for x
x = 11,206.96/105.86 - Step 6: Final answer
x = 105.87
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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.