Finding the Fourth Proportional to 106, 146.28 and 67.21
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Solution
The fourth proportional to 106, 146.28 and 67.21 is: 92.75
Step by Step Solution
- Step 1: Write the proportion equation
106 : 146.28 = 67.21 : x - Step 2: Convert to fraction form
106/146.28 = 67.21/x - Step 3: Cross multiply
106x = 146.28 × 67.21 - Step 4: Simplify right side
106x = 9,831.48 - Step 5: Solve for x
x = 9,831.48/106 - Step 6: Final answer
x = 92.75
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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.