Finding the Fourth Proportional to 77.08, 106.26 and 74.68
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Solution
The fourth proportional to 77.08, 106.26 and 74.68 is: 102.96
Step by Step Solution
- Step 1: Write the proportion equation
77.08 : 106.26 = 74.68 : x - Step 2: Convert to fraction form
77.08/106.26 = 74.68/x - Step 3: Cross multiply
77.08x = 106.26 × 74.68 - Step 4: Simplify right side
77.08x = 7,935.63 - Step 5: Solve for x
x = 7,935.63/77.08 - Step 6: Final answer
x = 102.96
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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.