Finding the Fourth Proportional to 108.14, 160.99 and 107.53
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Solution
The fourth proportional to 108.14, 160.99 and 107.53 is: 160.08
Step by Step Solution
- Step 1: Write the proportion equation
108.14 : 160.99 = 107.53 : x - Step 2: Convert to fraction form
108.14/160.99 = 107.53/x - Step 3: Cross multiply
108.14x = 160.99 × 107.53 - Step 4: Simplify right side
108.14x = 17,310.58 - Step 5: Solve for x
x = 17,310.58/108.14 - Step 6: Final answer
x = 160.08
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.