Finding the Fourth Proportional to 142.96, 214.52 and 86
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Solution
The fourth proportional to 142.96, 214.52 and 86 is: 129.05
Step by Step Solution
- Step 1: Write the proportion equation
142.96 : 214.52 = 86 : x - Step 2: Convert to fraction form
142.96/214.52 = 86/x - Step 3: Cross multiply
142.96x = 214.52 × 86 - Step 4: Simplify right side
142.96x = 18,448.72 - Step 5: Solve for x
x = 18,448.72/142.96 - Step 6: Final answer
x = 129.05
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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.