Finding the Fourth Proportional to 75.51, 113.02 and 68.58
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Solution
The fourth proportional to 75.51, 113.02 and 68.58 is: 102.65
Step by Step Solution
- Step 1: Write the proportion equation
75.51 : 113.02 = 68.58 : x - Step 2: Convert to fraction form
75.51/113.02 = 68.58/x - Step 3: Cross multiply
75.51x = 113.02 × 68.58 - Step 4: Simplify right side
75.51x = 7,750.74 - Step 5: Solve for x
x = 7,750.74/75.51 - Step 6: Final answer
x = 102.65
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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.