Finding the Fourth Proportional to 106.37, 159.36 and 54.99
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Solution
The fourth proportional to 106.37, 159.36 and 54.99 is: 82.39
Step by Step Solution
- Step 1: Write the proportion equation
106.37 : 159.36 = 54.99 : x - Step 2: Convert to fraction form
106.37/159.36 = 54.99/x - Step 3: Cross multiply
106.37x = 159.36 × 54.99 - Step 4: Simplify right side
106.37x = 8,763.21 - Step 5: Solve for x
x = 8,763.21/106.37 - Step 6: Final answer
x = 82.39
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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.