Finding the Fourth Proportional to 162.16, 243.24 and 86
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Solution
The fourth proportional to 162.16, 243.24 and 86 is: 129
Step by Step Solution
- Step 1: Write the proportion equation
162.16 : 243.24 = 86 : x - Step 2: Convert to fraction form
162.16/243.24 = 86/x - Step 3: Cross multiply
162.16x = 243.24 × 86 - Step 4: Simplify right side
162.16x = 20,918.64 - Step 5: Solve for x
x = 20,918.64/162.16 - Step 6: Final answer
x = 129
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.