Finding the Fourth Proportional to 106.16, 158.94 and 69.48
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Solution
The fourth proportional to 106.16, 158.94 and 69.48 is: 104.02
Step by Step Solution
- Step 1: Write the proportion equation
106.16 : 158.94 = 69.48 : x - Step 2: Convert to fraction form
106.16/158.94 = 69.48/x - Step 3: Cross multiply
106.16x = 158.94 × 69.48 - Step 4: Simplify right side
106.16x = 11,043.15 - Step 5: Solve for x
x = 11,043.15/106.16 - Step 6: Final answer
x = 104.02
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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.