Finding the Fourth Proportional to 102.98, 154.33 and 80.05
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Solution
The fourth proportional to 102.98, 154.33 and 80.05 is: 119.95
Step by Step Solution
- Step 1: Write the proportion equation
102.98 : 154.33 = 80.05 : x - Step 2: Convert to fraction form
102.98/154.33 = 80.05/x - Step 3: Cross multiply
102.98x = 154.33 × 80.05 - Step 4: Simplify right side
102.98x = 12,352.94 - Step 5: Solve for x
x = 12,352.94/102.98 - Step 6: Final answer
x = 119.95
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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.