Finding the Fourth Proportional to 83.50, 115.26 and 49
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Solution
The fourth proportional to 83.50, 115.26 and 49 is: 67.64
Step by Step Solution
- Step 1: Write the proportion equation
83.50 : 115.26 = 49 : x - Step 2: Convert to fraction form
83.50/115.26 = 49/x - Step 3: Cross multiply
83.50x = 115.26 × 49 - Step 4: Simplify right side
83.50x = 5,647.74 - Step 5: Solve for x
x = 5,647.74/83.50 - Step 6: Final answer
x = 67.64
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.