Finding the Fourth Proportional to 102.05, 152.50 and 99.75
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Solution
The fourth proportional to 102.05, 152.50 and 99.75 is: 149.05
Step by Step Solution
- Step 1: Write the proportion equation
102.05 : 152.50 = 99.75 : x - Step 2: Convert to fraction form
102.05/152.50 = 99.75/x - Step 3: Cross multiply
102.05x = 152.50 × 99.75 - Step 4: Simplify right side
102.05x = 15,210.96 - Step 5: Solve for x
x = 15,210.96/102.05 - Step 6: Final answer
x = 149.05
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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.