Finding the Fourth Proportional to 102.49, 153.75 and 30.34
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Solution
The fourth proportional to 102.49, 153.75 and 30.34 is: 45.51
Step by Step Solution
- Step 1: Write the proportion equation
102.49 : 153.75 = 30.34 : x - Step 2: Convert to fraction form
102.49/153.75 = 30.34/x - Step 3: Cross multiply
102.49x = 153.75 × 30.34 - Step 4: Simplify right side
102.49x = 4,664.78 - Step 5: Solve for x
x = 4,664.78/102.49 - Step 6: Final answer
x = 45.51
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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.