Finding the Fourth Proportional to 102.83, 141.86 and 71.73
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Solution
The fourth proportional to 102.83, 141.86 and 71.73 is: 98.96
Step by Step Solution
- Step 1: Write the proportion equation
102.83 : 141.86 = 71.73 : x - Step 2: Convert to fraction form
102.83/141.86 = 71.73/x - Step 3: Cross multiply
102.83x = 141.86 × 71.73 - Step 4: Simplify right side
102.83x = 10,175.80 - Step 5: Solve for x
x = 10,175.80/102.83 - Step 6: Final answer
x = 98.96
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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.