Finding the Fourth Proportional to 116.80, 164 and 116.80
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Solution
The fourth proportional to 116.80, 164 and 116.80 is: 164
Step by Step Solution
- Step 1: Write the proportion equation
116.80 : 164 = 116.80 : x - Step 2: Convert to fraction form
116.80/164 = 116.80/x - Step 3: Cross multiply
116.80x = 164 × 116.80 - Step 4: Simplify right side
116.80x = 19,155.20 - Step 5: Solve for x
x = 19,155.20/116.80 - Step 6: Final answer
x = 164
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.