Finding the Fourth Proportional to 42.12, 58 and 35.64
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Solution
The fourth proportional to 42.12, 58 and 35.64 is: 49.08
Step by Step Solution
- Step 1: Write the proportion equation
42.12 : 58 = 35.64 : x - Step 2: Convert to fraction form
42.12/58 = 35.64/x - Step 3: Cross multiply
42.12x = 58 × 35.64 - Step 4: Simplify right side
42.12x = 2,067.12 - Step 5: Solve for x
x = 2,067.12/42.12 - Step 6: Final answer
x = 49.08
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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.