Finding the Fourth Proportional to 106, 158.64 and 100
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Solution
The fourth proportional to 106, 158.64 and 100 is: 149.66
Step by Step Solution
- Step 1: Write the proportion equation
106 : 158.64 = 100 : x - Step 2: Convert to fraction form
106/158.64 = 100/x - Step 3: Cross multiply
106x = 158.64 × 100 - Step 4: Simplify right side
106x = 15,864.00 - Step 5: Solve for x
x = 15,864.00/106 - Step 6: Final answer
x = 149.66
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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.