Finding the Fourth Proportional to 142.23, 196.32 and 84
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Solution
The fourth proportional to 142.23, 196.32 and 84 is: 115.95
Step by Step Solution
- Step 1: Write the proportion equation
142.23 : 196.32 = 84 : x - Step 2: Convert to fraction form
142.23/196.32 = 84/x - Step 3: Cross multiply
142.23x = 196.32 × 84 - Step 4: Simplify right side
142.23x = 16,490.88 - Step 5: Solve for x
x = 16,490.88/142.23 - Step 6: Final answer
x = 115.95
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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.