Finding the Fourth Proportional to 51.14, 76.71 and 24.06
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Solution
The fourth proportional to 51.14, 76.71 and 24.06 is: 36.09
Step by Step Solution
- Step 1: Write the proportion equation
51.14 : 76.71 = 24.06 : x - Step 2: Convert to fraction form
51.14/76.71 = 24.06/x - Step 3: Cross multiply
51.14x = 76.71 × 24.06 - Step 4: Simplify right side
51.14x = 1,845.64 - Step 5: Solve for x
x = 1,845.64/51.14 - Step 6: Final answer
x = 36.09
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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.