Finding the Fourth Proportional to 105.63, 158.10 and 82.68
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Solution
The fourth proportional to 105.63, 158.10 and 82.68 is: 123.75
Step by Step Solution
- Step 1: Write the proportion equation
105.63 : 158.10 = 82.68 : x - Step 2: Convert to fraction form
105.63/158.10 = 82.68/x - Step 3: Cross multiply
105.63x = 158.10 × 82.68 - Step 4: Simplify right side
105.63x = 13,071.71 - Step 5: Solve for x
x = 13,071.71/105.63 - Step 6: Final answer
x = 123.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.