Finding the Fourth Proportional to 97.70, 132.80 and 97.70
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Solution
The fourth proportional to 97.70, 132.80 and 97.70 is: 132.80
Step by Step Solution
- Step 1: Write the proportion equation
97.70 : 132.80 = 97.70 : x - Step 2: Convert to fraction form
97.70/132.80 = 97.70/x - Step 3: Cross multiply
97.70x = 132.80 × 97.70 - Step 4: Simplify right side
97.70x = 12,974.56 - Step 5: Solve for x
x = 12,974.56/97.70 - Step 6: Final answer
x = 132.80
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.