Finding the Fourth Proportional to 130, 179.40 and 78.25
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Solution
The fourth proportional to 130, 179.40 and 78.25 is: 107.99
Step by Step Solution
- Step 1: Write the proportion equation
130 : 179.40 = 78.25 : x - Step 2: Convert to fraction form
130/179.40 = 78.25/x - Step 3: Cross multiply
130x = 179.40 × 78.25 - Step 4: Simplify right side
130x = 14,038.05 - Step 5: Solve for x
x = 14,038.05/130 - Step 6: Final answer
x = 107.99
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1.5x scale
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.