Finding the Fourth Proportional to 106.70, 149.70 and 106.70
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Solution
The fourth proportional to 106.70, 149.70 and 106.70 is: 149.70
Step by Step Solution
- Step 1: Write the proportion equation
106.70 : 149.70 = 106.70 : x - Step 2: Convert to fraction form
106.70/149.70 = 106.70/x - Step 3: Cross multiply
106.70x = 149.70 × 106.70 - Step 4: Simplify right side
106.70x = 15,972.99 - Step 5: Solve for x
x = 15,972.99/106.70 - Step 6: Final answer
x = 149.70
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.