Finding the Fourth Proportional to 102.12, 152.54 and 85.02
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Solution
The fourth proportional to 102.12, 152.54 and 85.02 is: 126.99
Step by Step Solution
- Step 1: Write the proportion equation
102.12 : 152.54 = 85.02 : x - Step 2: Convert to fraction form
102.12/152.54 = 85.02/x - Step 3: Cross multiply
102.12x = 152.54 × 85.02 - Step 4: Simplify right side
102.12x = 12,968.27 - Step 5: Solve for x
x = 12,968.27/102.12 - Step 6: Final answer
x = 126.99
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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.