Finding the Fourth Proportional to 105.74, 145.84 and 68.88
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Solution
The fourth proportional to 105.74, 145.84 and 68.88 is: 95.00
Step by Step Solution
- Step 1: Write the proportion equation
105.74 : 145.84 = 68.88 : x - Step 2: Convert to fraction form
105.74/145.84 = 68.88/x - Step 3: Cross multiply
105.74x = 145.84 × 68.88 - Step 4: Simplify right side
105.74x = 10,045.46 - Step 5: Solve for x
x = 10,045.46/105.74 - Step 6: Final answer
x = 95.00
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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.