Finding the Fourth Proportional to 102.54, 141.42 and 75.09
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Solution
The fourth proportional to 102.54, 141.42 and 75.09 is: 103.56
Step by Step Solution
- Step 1: Write the proportion equation
102.54 : 141.42 = 75.09 : x - Step 2: Convert to fraction form
102.54/141.42 = 75.09/x - Step 3: Cross multiply
102.54x = 141.42 × 75.09 - Step 4: Simplify right side
102.54x = 10,619.23 - Step 5: Solve for x
x = 10,619.23/102.54 - Step 6: Final answer
x = 103.56
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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.