Finding the Fourth Proportional to 152.25, 210.11 and 83.25
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Solution
The fourth proportional to 152.25, 210.11 and 83.25 is: 114.89
Step by Step Solution
- Step 1: Write the proportion equation
152.25 : 210.11 = 83.25 : x - Step 2: Convert to fraction form
152.25/210.11 = 83.25/x - Step 3: Cross multiply
152.25x = 210.11 × 83.25 - Step 4: Simplify right side
152.25x = 17,491.66 - Step 5: Solve for x
x = 17,491.66/152.25 - Step 6: Final answer
x = 114.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.