Finding the Fourth Proportional to 78.76, 118.14 and 42.92
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Solution
The fourth proportional to 78.76, 118.14 and 42.92 is: 64.38
Step by Step Solution
- Step 1: Write the proportion equation
78.76 : 118.14 = 42.92 : x - Step 2: Convert to fraction form
78.76/118.14 = 42.92/x - Step 3: Cross multiply
78.76x = 118.14 × 42.92 - Step 4: Simplify right side
78.76x = 5,070.57 - Step 5: Solve for x
x = 5,070.57/78.76 - Step 6: Final answer
x = 64.38
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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.