Finding the Fourth Proportional to 105.16, 157.64 and 69.02
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Solution
The fourth proportional to 105.16, 157.64 and 69.02 is: 103.46
Step by Step Solution
- Step 1: Write the proportion equation
105.16 : 157.64 = 69.02 : x - Step 2: Convert to fraction form
105.16/157.64 = 69.02/x - Step 3: Cross multiply
105.16x = 157.64 × 69.02 - Step 4: Simplify right side
105.16x = 10,880.31 - Step 5: Solve for x
x = 10,880.31/105.16 - Step 6: Final answer
x = 103.46
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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.