Finding the Fourth Proportional to 119.76, 165.26 and 81
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Solution
The fourth proportional to 119.76, 165.26 and 81 is: 111.77
Step by Step Solution
- Step 1: Write the proportion equation
119.76 : 165.26 = 81 : x - Step 2: Convert to fraction form
119.76/165.26 = 81/x - Step 3: Cross multiply
119.76x = 165.26 × 81 - Step 4: Simplify right side
119.76x = 13,386.06 - Step 5: Solve for x
x = 13,386.06/119.76 - Step 6: Final answer
x = 111.77
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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.