Finding the Fourth Proportional to 153.36, 230 and 102.32
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Solution
The fourth proportional to 153.36, 230 and 102.32 is: 153.45
Step by Step Solution
- Step 1: Write the proportion equation
153.36 : 230 = 102.32 : x - Step 2: Convert to fraction form
153.36/230 = 102.32/x - Step 3: Cross multiply
153.36x = 230 × 102.32 - Step 4: Simplify right side
153.36x = 23,533.60 - Step 5: Solve for x
x = 23,533.60/153.36 - Step 6: Final answer
x = 153.45
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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.