Finding the Fourth Proportional to 135.14, 202.23 and 98.62
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Solution
The fourth proportional to 135.14, 202.23 and 98.62 is: 147.58
Step by Step Solution
- Step 1: Write the proportion equation
135.14 : 202.23 = 98.62 : x - Step 2: Convert to fraction form
135.14/202.23 = 98.62/x - Step 3: Cross multiply
135.14x = 202.23 × 98.62 - Step 4: Simplify right side
135.14x = 19,943.92 - Step 5: Solve for x
x = 19,943.92/135.14 - Step 6: Final answer
x = 147.58
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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.