Finding the Fourth Proportional to 71.15, 106.77 and 35.09
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Solution
The fourth proportional to 71.15, 106.77 and 35.09 is: 52.65
Step by Step Solution
- Step 1: Write the proportion equation
71.15 : 106.77 = 35.09 : x - Step 2: Convert to fraction form
71.15/106.77 = 35.09/x - Step 3: Cross multiply
71.15x = 106.77 × 35.09 - Step 4: Simplify right side
71.15x = 3,746.03 - Step 5: Solve for x
x = 3,746.03/71.15 - Step 6: Final answer
x = 52.65
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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.