Finding the Fourth Proportional to 105.54, 158.33 and 64.99
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Solution
The fourth proportional to 105.54, 158.33 and 64.99 is: 97.50
Step by Step Solution
- Step 1: Write the proportion equation
105.54 : 158.33 = 64.99 : x - Step 2: Convert to fraction form
105.54/158.33 = 64.99/x - Step 3: Cross multiply
105.54x = 158.33 × 64.99 - Step 4: Simplify right side
105.54x = 10,289.87 - Step 5: Solve for x
x = 10,289.87/105.54 - Step 6: Final answer
x = 97.50
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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.