Finding the Fourth Proportional to 108.14, 149.14 and 102.06
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Solution
The fourth proportional to 108.14, 149.14 and 102.06 is: 140.76
Step by Step Solution
- Step 1: Write the proportion equation
108.14 : 149.14 = 102.06 : x - Step 2: Convert to fraction form
108.14/149.14 = 102.06/x - Step 3: Cross multiply
108.14x = 149.14 × 102.06 - Step 4: Simplify right side
108.14x = 15,221.36 - Step 5: Solve for x
x = 15,221.36/108.14 - Step 6: Final answer
x = 140.76
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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.