Finding the Fourth Proportional to 77.54, 106.79 and 63.68
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Solution
The fourth proportional to 77.54, 106.79 and 63.68 is: 87.70
Step by Step Solution
- Step 1: Write the proportion equation
77.54 : 106.79 = 63.68 : x - Step 2: Convert to fraction form
77.54/106.79 = 63.68/x - Step 3: Cross multiply
77.54x = 106.79 × 63.68 - Step 4: Simplify right side
77.54x = 6,799.53 - Step 5: Solve for x
x = 6,799.53/77.54 - Step 6: Final answer
x = 87.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.