Finding the Fourth Proportional to 272.96, 409.44 and 102.08
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Solution
The fourth proportional to 272.96, 409.44 and 102.08 is: 153.12
Step by Step Solution
- Step 1: Write the proportion equation
272.96 : 409.44 = 102.08 : x - Step 2: Convert to fraction form
272.96/409.44 = 102.08/x - Step 3: Cross multiply
272.96x = 409.44 × 102.08 - Step 4: Simplify right side
272.96x = 41,795.64 - Step 5: Solve for x
x = 41,795.64/272.96 - Step 6: Final answer
x = 153.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.