Finding the Fourth Proportional to 98.40, 135.63 and 97.14
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Solution
The fourth proportional to 98.40, 135.63 and 97.14 is: 133.89
Step by Step Solution
- Step 1: Write the proportion equation
98.40 : 135.63 = 97.14 : x - Step 2: Convert to fraction form
98.40/135.63 = 97.14/x - Step 3: Cross multiply
98.40x = 135.63 × 97.14 - Step 4: Simplify right side
98.40x = 13,175.10 - Step 5: Solve for x
x = 13,175.10/98.40 - Step 6: Final answer
x = 133.89
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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.