Finding the Fourth Proportional to 175.38, 263.06 and 47.13
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Solution
The fourth proportional to 175.38, 263.06 and 47.13 is: 70.69
Step by Step Solution
- Step 1: Write the proportion equation
175.38 : 263.06 = 47.13 : x - Step 2: Convert to fraction form
175.38/263.06 = 47.13/x - Step 3: Cross multiply
175.38x = 263.06 × 47.13 - Step 4: Simplify right side
175.38x = 12,398.02 - Step 5: Solve for x
x = 12,398.02/175.38 - Step 6: Final answer
x = 70.69
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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.