Finding the Fourth Proportional to 107.14, 160.75 and 55.75
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Solution
The fourth proportional to 107.14, 160.75 and 55.75 is: 83.65
Step by Step Solution
- Step 1: Write the proportion equation
107.14 : 160.75 = 55.75 : x - Step 2: Convert to fraction form
107.14/160.75 = 55.75/x - Step 3: Cross multiply
107.14x = 160.75 × 55.75 - Step 4: Simplify right side
107.14x = 8,961.81 - Step 5: Solve for x
x = 8,961.81/107.14 - Step 6: Final answer
x = 83.65
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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.