Finding the Fourth Proportional to 120.64, 180.99 and 107.20
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Solution
The fourth proportional to 120.64, 180.99 and 107.20 is: 160.83
Step by Step Solution
- Step 1: Write the proportion equation
120.64 : 180.99 = 107.20 : x - Step 2: Convert to fraction form
120.64/180.99 = 107.20/x - Step 3: Cross multiply
120.64x = 180.99 × 107.20 - Step 4: Simplify right side
120.64x = 19,402.13 - Step 5: Solve for x
x = 19,402.13/120.64 - Step 6: Final answer
x = 160.83
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.