Finding the Fourth Proportional to 105.49, 145.62 and 74.43
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Solution
The fourth proportional to 105.49, 145.62 and 74.43 is: 102.75
Step by Step Solution
- Step 1: Write the proportion equation
105.49 : 145.62 = 74.43 : x - Step 2: Convert to fraction form
105.49/145.62 = 74.43/x - Step 3: Cross multiply
105.49x = 145.62 × 74.43 - Step 4: Simplify right side
105.49x = 10,838.96 - Step 5: Solve for x
x = 10,838.96/105.49 - Step 6: Final answer
x = 102.75
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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.