Finding the Fourth Proportional to 103, 142.14 and 64.24
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Solution
The fourth proportional to 103, 142.14 and 64.24 is: 88.65
Step by Step Solution
- Step 1: Write the proportion equation
103 : 142.14 = 64.24 : x - Step 2: Convert to fraction form
103/142.14 = 64.24/x - Step 3: Cross multiply
103x = 142.14 × 64.24 - Step 4: Simplify right side
103x = 9,131.07 - Step 5: Solve for x
x = 9,131.07/103 - Step 6: Final answer
x = 88.65
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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.