Finding the Fourth Proportional to 106.81, 160.25 and 83.99
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Solution
The fourth proportional to 106.81, 160.25 and 83.99 is: 126.02
Step by Step Solution
- Step 1: Write the proportion equation
106.81 : 160.25 = 83.99 : x - Step 2: Convert to fraction form
106.81/160.25 = 83.99/x - Step 3: Cross multiply
106.81x = 160.25 × 83.99 - Step 4: Simplify right side
106.81x = 13,459.38 - Step 5: Solve for x
x = 13,459.38/106.81 - Step 6: Final answer
x = 126.02
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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.