Finding the Fourth Proportional to 75.54, 104.73 and 74.05
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Solution
The fourth proportional to 75.54, 104.73 and 74.05 is: 102.66
Step by Step Solution
- Step 1: Write the proportion equation
75.54 : 104.73 = 74.05 : x - Step 2: Convert to fraction form
75.54/104.73 = 74.05/x - Step 3: Cross multiply
75.54x = 104.73 × 74.05 - Step 4: Simplify right side
75.54x = 7,754.89 - Step 5: Solve for x
x = 7,754.89/75.54 - Step 6: Final answer
x = 102.66
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.