Finding the Fourth Proportional to 97.14, 145.68 and 33
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Solution
The fourth proportional to 97.14, 145.68 and 33 is: 49.49
Step by Step Solution
- Step 1: Write the proportion equation
97.14 : 145.68 = 33 : x - Step 2: Convert to fraction form
97.14/145.68 = 33/x - Step 3: Cross multiply
97.14x = 145.68 × 33 - Step 4: Simplify right side
97.14x = 4,807.44 - Step 5: Solve for x
x = 4,807.44/97.14 - Step 6: Final answer
x = 49.49
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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.