Finding the Fourth Proportional to 138.24, 207.09 and 90
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Solution
The fourth proportional to 138.24, 207.09 and 90 is: 134.82
Step by Step Solution
- Step 1: Write the proportion equation
138.24 : 207.09 = 90 : x - Step 2: Convert to fraction form
138.24/207.09 = 90/x - Step 3: Cross multiply
138.24x = 207.09 × 90 - Step 4: Simplify right side
138.24x = 18,638.10 - Step 5: Solve for x
x = 18,638.10/138.24 - Step 6: Final answer
x = 134.82
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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.