Finding the Fourth Proportional to 75.65, 114.01 and 71.99
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Solution
The fourth proportional to 75.65, 114.01 and 71.99 is: 108.49
Step by Step Solution
- Step 1: Write the proportion equation
75.65 : 114.01 = 71.99 : x - Step 2: Convert to fraction form
75.65/114.01 = 71.99/x - Step 3: Cross multiply
75.65x = 114.01 × 71.99 - Step 4: Simplify right side
75.65x = 8,207.22 - Step 5: Solve for x
x = 8,207.22/75.65 - Step 6: Final answer
x = 108.49
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.