Finding the Fourth Proportional to 102.84, 154.12 and 53.99
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Solution
The fourth proportional to 102.84, 154.12 and 53.99 is: 80.91
Step by Step Solution
- Step 1: Write the proportion equation
102.84 : 154.12 = 53.99 : x - Step 2: Convert to fraction form
102.84/154.12 = 53.99/x - Step 3: Cross multiply
102.84x = 154.12 × 53.99 - Step 4: Simplify right side
102.84x = 8,320.28 - Step 5: Solve for x
x = 8,320.28/102.84 - Step 6: Final answer
x = 80.91
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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.