Finding the Fourth Proportional to 30.99, 46.16 and 30.02
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Solution
The fourth proportional to 30.99, 46.16 and 30.02 is: 44.72
Step by Step Solution
- Step 1: Write the proportion equation
30.99 : 46.16 = 30.02 : x - Step 2: Convert to fraction form
30.99/46.16 = 30.02/x - Step 3: Cross multiply
30.99x = 46.16 × 30.02 - Step 4: Simplify right side
30.99x = 1,385.72 - Step 5: Solve for x
x = 1,385.72/30.99 - Step 6: Final answer
x = 44.72
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.