Finding the Fourth Proportional to 122.54, 169.09 and 106.99
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Solution
The fourth proportional to 122.54, 169.09 and 106.99 is: 147.63
Step by Step Solution
- Step 1: Write the proportion equation
122.54 : 169.09 = 106.99 : x - Step 2: Convert to fraction form
122.54/169.09 = 106.99/x - Step 3: Cross multiply
122.54x = 169.09 × 106.99 - Step 4: Simplify right side
122.54x = 18,090.25 - Step 5: Solve for x
x = 18,090.25/122.54 - Step 6: Final answer
x = 147.63
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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.