Finding the Fourth Proportional to 102.63, 153.71 and 83.46
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Solution
The fourth proportional to 102.63, 153.71 and 83.46 is: 124.99
Step by Step Solution
- Step 1: Write the proportion equation
102.63 : 153.71 = 83.46 : x - Step 2: Convert to fraction form
102.63/153.71 = 83.46/x - Step 3: Cross multiply
102.63x = 153.71 × 83.46 - Step 4: Simplify right side
102.63x = 12,828.22 - Step 5: Solve for x
x = 12,828.22/102.63 - Step 6: Final answer
x = 124.99
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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.