Finding the Fourth Proportional to 75.06, 102.84 and 74.09
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Solution
The fourth proportional to 75.06, 102.84 and 74.09 is: 101.52
Step by Step Solution
- Step 1: Write the proportion equation
75.06 : 102.84 = 74.09 : x - Step 2: Convert to fraction form
75.06/102.84 = 74.09/x - Step 3: Cross multiply
75.06x = 102.84 × 74.09 - Step 4: Simplify right side
75.06x = 7,619.95 - Step 5: Solve for x
x = 7,619.95/75.06 - Step 6: Final answer
x = 101.52
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.