Finding the Fourth Proportional to 106.50, 146.77 and 69.65
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Solution
The fourth proportional to 106.50, 146.77 and 69.65 is: 95.99
Step by Step Solution
- Step 1: Write the proportion equation
106.50 : 146.77 = 69.65 : x - Step 2: Convert to fraction form
106.50/146.77 = 69.65/x - Step 3: Cross multiply
106.50x = 146.77 × 69.65 - Step 4: Simplify right side
106.50x = 10,222.53 - Step 5: Solve for x
x = 10,222.53/106.50 - Step 6: Final answer
x = 95.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.