Finding the Fourth Proportional to 120.50, 166.34 and 73.88
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Solution
The fourth proportional to 120.50, 166.34 and 73.88 is: 101.99
Step by Step Solution
- Step 1: Write the proportion equation
120.50 : 166.34 = 73.88 : x - Step 2: Convert to fraction form
120.50/166.34 = 73.88/x - Step 3: Cross multiply
120.50x = 166.34 × 73.88 - Step 4: Simplify right side
120.50x = 12,289.18 - Step 5: Solve for x
x = 12,289.18/120.50 - Step 6: Final answer
x = 101.99
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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.