Finding the Fourth Proportional to 105.53, 157.72 and 68.81
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Solution
The fourth proportional to 105.53, 157.72 and 68.81 is: 102.84
Step by Step Solution
- Step 1: Write the proportion equation
105.53 : 157.72 = 68.81 : x - Step 2: Convert to fraction form
105.53/157.72 = 68.81/x - Step 3: Cross multiply
105.53x = 157.72 × 68.81 - Step 4: Simplify right side
105.53x = 10,852.71 - Step 5: Solve for x
x = 10,852.71/105.53 - Step 6: Final answer
x = 102.84
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.