Finding the Fourth Proportional to 282.93, 424.41 and 90.57
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Solution
The fourth proportional to 282.93, 424.41 and 90.57 is: 135.86
Step by Step Solution
- Step 1: Write the proportion equation
282.93 : 424.41 = 90.57 : x - Step 2: Convert to fraction form
282.93/424.41 = 90.57/x - Step 3: Cross multiply
282.93x = 424.41 × 90.57 - Step 4: Simplify right side
282.93x = 38,438.81 - Step 5: Solve for x
x = 38,438.81/282.93 - Step 6: Final answer
x = 135.86
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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.