Finding the Fourth Proportional to 100.50, 138.78 and 74.58
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Solution
The fourth proportional to 100.50, 138.78 and 74.58 is: 102.99
Step by Step Solution
- Step 1: Write the proportion equation
100.50 : 138.78 = 74.58 : x - Step 2: Convert to fraction form
100.50/138.78 = 74.58/x - Step 3: Cross multiply
100.50x = 138.78 × 74.58 - Step 4: Simplify right side
100.50x = 10,350.21 - Step 5: Solve for x
x = 10,350.21/100.50 - Step 6: Final answer
x = 102.99
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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.