Finding the Fourth Proportional to 51, 76.50 and 22.50
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Solution
The fourth proportional to 51, 76.50 and 22.50 is: 33.75
Step by Step Solution
- Step 1: Write the proportion equation
51 : 76.50 = 22.50 : x - Step 2: Convert to fraction form
51/76.50 = 22.50/x - Step 3: Cross multiply
51x = 76.50 × 22.50 - Step 4: Simplify right side
51x = 1,721.25 - Step 5: Solve for x
x = 1,721.25/51 - Step 6: Final answer
x = 33.75
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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.