Finding the Fourth Proportional to 135.24, 202.87 and 97.05
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Solution
The fourth proportional to 135.24, 202.87 and 97.05 is: 145.57
Step by Step Solution
- Step 1: Write the proportion equation
135.24 : 202.87 = 97.05 : x - Step 2: Convert to fraction form
135.24/202.87 = 97.05/x - Step 3: Cross multiply
135.24x = 202.87 × 97.05 - Step 4: Simplify right side
135.24x = 19,687.87 - Step 5: Solve for x
x = 19,687.87/135.24 - Step 6: Final answer
x = 145.57
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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.