Finding the Fourth Proportional to 76.87, 106.26 and 73.66
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Solution
The fourth proportional to 76.87, 106.26 and 73.66 is: 101.82
Step by Step Solution
- Step 1: Write the proportion equation
76.87 : 106.26 = 73.66 : x - Step 2: Convert to fraction form
76.87/106.26 = 73.66/x - Step 3: Cross multiply
76.87x = 106.26 × 73.66 - Step 4: Simplify right side
76.87x = 7,827.11 - Step 5: Solve for x
x = 7,827.11/76.87 - Step 6: Final answer
x = 101.82
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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.