Finding the Fourth Proportional to 101.70, 152.76 and 77.82
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Solution
The fourth proportional to 101.70, 152.76 and 77.82 is: 116.89
Step by Step Solution
- Step 1: Write the proportion equation
101.70 : 152.76 = 77.82 : x - Step 2: Convert to fraction form
101.70/152.76 = 77.82/x - Step 3: Cross multiply
101.70x = 152.76 × 77.82 - Step 4: Simplify right side
101.70x = 11,887.78 - Step 5: Solve for x
x = 11,887.78/101.70 - Step 6: Final answer
x = 116.89
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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.