Finding the Fourth Proportional to 97.28, 145.86 and 54.56
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Solution
The fourth proportional to 97.28, 145.86 and 54.56 is: 81.81
Step by Step Solution
- Step 1: Write the proportion equation
97.28 : 145.86 = 54.56 : x - Step 2: Convert to fraction form
97.28/145.86 = 54.56/x - Step 3: Cross multiply
97.28x = 145.86 × 54.56 - Step 4: Simplify right side
97.28x = 7,958.12 - Step 5: Solve for x
x = 7,958.12/97.28 - Step 6: Final answer
x = 81.81
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.