Finding the Fourth Proportional to 97.84, 146.76 and 55
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Solution
The fourth proportional to 97.84, 146.76 and 55 is: 82.50
Step by Step Solution
- Step 1: Write the proportion equation
97.84 : 146.76 = 55 : x - Step 2: Convert to fraction form
97.84/146.76 = 55/x - Step 3: Cross multiply
97.84x = 146.76 × 55 - Step 4: Simplify right side
97.84x = 8,071.80 - Step 5: Solve for x
x = 8,071.80/97.84 - Step 6: Final answer
x = 82.50
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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.