Finding the Fourth Proportional to 107.12, 160.65 and 52.99
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Solution
The fourth proportional to 107.12, 160.65 and 52.99 is: 79.46
Step by Step Solution
- Step 1: Write the proportion equation
107.12 : 160.65 = 52.99 : x - Step 2: Convert to fraction form
107.12/160.65 = 52.99/x - Step 3: Cross multiply
107.12x = 160.65 × 52.99 - Step 4: Simplify right side
107.12x = 8,512.44 - Step 5: Solve for x
x = 8,512.44/107.12 - Step 6: Final answer
x = 79.46
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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.