Finding the Fourth Proportional to 102.64, 141.59 and 73.09
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Solution
The fourth proportional to 102.64, 141.59 and 73.09 is: 100.82
Step by Step Solution
- Step 1: Write the proportion equation
102.64 : 141.59 = 73.09 : x - Step 2: Convert to fraction form
102.64/141.59 = 73.09/x - Step 3: Cross multiply
102.64x = 141.59 × 73.09 - Step 4: Simplify right side
102.64x = 10,348.46 - Step 5: Solve for x
x = 10,348.46/102.64 - Step 6: Final answer
x = 100.82
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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.