Finding the Fourth Proportional to 157.68, 217.44 and 135.84
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Solution
The fourth proportional to 157.68, 217.44 and 135.84 is: 187.32
Step by Step Solution
- Step 1: Write the proportion equation
157.68 : 217.44 = 135.84 : x - Step 2: Convert to fraction form
157.68/217.44 = 135.84/x - Step 3: Cross multiply
157.68x = 217.44 × 135.84 - Step 4: Simplify right side
157.68x = 29,537.05 - Step 5: Solve for x
x = 29,537.05/157.68 - Step 6: Final answer
x = 187.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.