Finding the Fourth Proportional to 135.23, 202.88 and 77.52
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Solution
The fourth proportional to 135.23, 202.88 and 77.52 is: 116.30
Step by Step Solution
- Step 1: Write the proportion equation
135.23 : 202.88 = 77.52 : x - Step 2: Convert to fraction form
135.23/202.88 = 77.52/x - Step 3: Cross multiply
135.23x = 202.88 × 77.52 - Step 4: Simplify right side
135.23x = 15,726.75 - Step 5: Solve for x
x = 15,726.75/135.23 - Step 6: Final answer
x = 116.30
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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.