Finding the Fourth Proportional to 76.52, 105.72 and 74
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Solution
The fourth proportional to 76.52, 105.72 and 74 is: 102.24
Step by Step Solution
- Step 1: Write the proportion equation
76.52 : 105.72 = 74 : x - Step 2: Convert to fraction form
76.52/105.72 = 74/x - Step 3: Cross multiply
76.52x = 105.72 × 74 - Step 4: Simplify right side
76.52x = 7,823.28 - Step 5: Solve for x
x = 7,823.28/76.52 - Step 6: Final answer
x = 102.24
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.