Finding the Fourth Proportional to 102.70, 154.09 and 79.84
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Solution
The fourth proportional to 102.70, 154.09 and 79.84 is: 119.79
Step by Step Solution
- Step 1: Write the proportion equation
102.70 : 154.09 = 79.84 : x - Step 2: Convert to fraction form
102.70/154.09 = 79.84/x - Step 3: Cross multiply
102.70x = 154.09 × 79.84 - Step 4: Simplify right side
102.70x = 12,302.26 - Step 5: Solve for x
x = 12,302.26/102.70 - Step 6: Final answer
x = 119.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.