Finding the Fourth Proportional to 105.30, 157.68 and 73.26
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Solution
The fourth proportional to 105.30, 157.68 and 73.26 is: 109.70
Step by Step Solution
- Step 1: Write the proportion equation
105.30 : 157.68 = 73.26 : x - Step 2: Convert to fraction form
105.30/157.68 = 73.26/x - Step 3: Cross multiply
105.30x = 157.68 × 73.26 - Step 4: Simplify right side
105.30x = 11,551.64 - Step 5: Solve for x
x = 11,551.64/105.30 - Step 6: Final answer
x = 109.70
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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.