Finding the Fourth Proportional to 75.14, 112.70 and 23.08
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Solution
The fourth proportional to 75.14, 112.70 and 23.08 is: 34.62
Step by Step Solution
- Step 1: Write the proportion equation
75.14 : 112.70 = 23.08 : x - Step 2: Convert to fraction form
75.14/112.70 = 23.08/x - Step 3: Cross multiply
75.14x = 112.70 × 23.08 - Step 4: Simplify right side
75.14x = 2,601.12 - Step 5: Solve for x
x = 2,601.12/75.14 - Step 6: Final answer
x = 34.62
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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.