Finding the Fourth Proportional to 340.01, 509.85 and 105.71
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Solution
The fourth proportional to 340.01, 509.85 and 105.71 is: 158.52
Step by Step Solution
- Step 1: Write the proportion equation
340.01 : 509.85 = 105.71 : x - Step 2: Convert to fraction form
340.01/509.85 = 105.71/x - Step 3: Cross multiply
340.01x = 509.85 × 105.71 - Step 4: Simplify right side
340.01x = 53,897.52 - Step 5: Solve for x
x = 53,897.52/340.01 - Step 6: Final answer
x = 158.52
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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.