Finding the Fourth Proportional to 120.99, 167.05 and 78.99
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Solution
The fourth proportional to 120.99, 167.05 and 78.99 is: 109.06
Step by Step Solution
- Step 1: Write the proportion equation
120.99 : 167.05 = 78.99 : x - Step 2: Convert to fraction form
120.99/167.05 = 78.99/x - Step 3: Cross multiply
120.99x = 167.05 × 78.99 - Step 4: Simplify right side
120.99x = 13,195.25 - Step 5: Solve for x
x = 13,195.25/120.99 - Step 6: Final answer
x = 109.06
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.