Finding the Fourth Proportional to 146.64, 220 and 49.12
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Solution
The fourth proportional to 146.64, 220 and 49.12 is: 73.69
Step by Step Solution
- Step 1: Write the proportion equation
146.64 : 220 = 49.12 : x - Step 2: Convert to fraction form
146.64/220 = 49.12/x - Step 3: Cross multiply
146.64x = 220 × 49.12 - Step 4: Simplify right side
146.64x = 10,806.40 - Step 5: Solve for x
x = 10,806.40/146.64 - Step 6: Final answer
x = 73.69
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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.