Finding the Fourth Proportional to 82.32, 123.36 and 39.60
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Solution
The fourth proportional to 82.32, 123.36 and 39.60 is: 59.34
Step by Step Solution
- Step 1: Write the proportion equation
82.32 : 123.36 = 39.60 : x - Step 2: Convert to fraction form
82.32/123.36 = 39.60/x - Step 3: Cross multiply
82.32x = 123.36 × 39.60 - Step 4: Simplify right side
82.32x = 4,885.06 - Step 5: Solve for x
x = 4,885.06/82.32 - Step 6: Final answer
x = 59.34
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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.