Finding the Fourth Proportional to 96.62, 144.75 and 74.99
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Solution
The fourth proportional to 96.62, 144.75 and 74.99 is: 112.35
Step by Step Solution
- Step 1: Write the proportion equation
96.62 : 144.75 = 74.99 : x - Step 2: Convert to fraction form
96.62/144.75 = 74.99/x - Step 3: Cross multiply
96.62x = 144.75 × 74.99 - Step 4: Simplify right side
96.62x = 10,854.80 - Step 5: Solve for x
x = 10,854.80/96.62 - Step 6: Final answer
x = 112.35
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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.