Finding the Fourth Proportional to 149.03, 205.63 and 83.51
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Solution
The fourth proportional to 149.03, 205.63 and 83.51 is: 115.23
Step by Step Solution
- Step 1: Write the proportion equation
149.03 : 205.63 = 83.51 : x - Step 2: Convert to fraction form
149.03/205.63 = 83.51/x - Step 3: Cross multiply
149.03x = 205.63 × 83.51 - Step 4: Simplify right side
149.03x = 17,172.16 - Step 5: Solve for x
x = 17,172.16/149.03 - Step 6: Final answer
x = 115.23
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.