Finding the Fourth Proportional to 135.14, 202.58 and 110.78
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Solution
The fourth proportional to 135.14, 202.58 and 110.78 is: 166.06
Step by Step Solution
- Step 1: Write the proportion equation
135.14 : 202.58 = 110.78 : x - Step 2: Convert to fraction form
135.14/202.58 = 110.78/x - Step 3: Cross multiply
135.14x = 202.58 × 110.78 - Step 4: Simplify right side
135.14x = 22,441.81 - Step 5: Solve for x
x = 22,441.81/135.14 - Step 6: Final answer
x = 166.06
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.