Finding the Fourth Proportional to 107.16, 160.71 and 35.02
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Solution
The fourth proportional to 107.16, 160.71 and 35.02 is: 52.52
Step by Step Solution
- Step 1: Write the proportion equation
107.16 : 160.71 = 35.02 : x - Step 2: Convert to fraction form
107.16/160.71 = 35.02/x - Step 3: Cross multiply
107.16x = 160.71 × 35.02 - Step 4: Simplify right side
107.16x = 5,628.06 - Step 5: Solve for x
x = 5,628.06/107.16 - Step 6: Final answer
x = 52.52
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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.