Finding the Fourth Proportional to 106.56, 159.84 and 65.99
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Solution
The fourth proportional to 106.56, 159.84 and 65.99 is: 98.99
Step by Step Solution
- Step 1: Write the proportion equation
106.56 : 159.84 = 65.99 : x - Step 2: Convert to fraction form
106.56/159.84 = 65.99/x - Step 3: Cross multiply
106.56x = 159.84 × 65.99 - Step 4: Simplify right side
106.56x = 10,548.24 - Step 5: Solve for x
x = 10,548.24/106.56 - Step 6: Final answer
x = 98.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.