Finding the Fourth Proportional to 75.13, 112.68 and 23.77
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Solution
The fourth proportional to 75.13, 112.68 and 23.77 is: 35.65
Step by Step Solution
- Step 1: Write the proportion equation
75.13 : 112.68 = 23.77 : x - Step 2: Convert to fraction form
75.13/112.68 = 23.77/x - Step 3: Cross multiply
75.13x = 112.68 × 23.77 - Step 4: Simplify right side
75.13x = 2,678.40 - Step 5: Solve for x
x = 2,678.40/75.13 - Step 6: Final answer
x = 35.65
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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.