Finding the Fourth Proportional to 73.08, 108.36 and 71.70
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Solution
The fourth proportional to 73.08, 108.36 and 71.70 is: 106.31
Step by Step Solution
- Step 1: Write the proportion equation
73.08 : 108.36 = 71.70 : x - Step 2: Convert to fraction form
73.08/108.36 = 71.70/x - Step 3: Cross multiply
73.08x = 108.36 × 71.70 - Step 4: Simplify right side
73.08x = 7,769.41 - Step 5: Solve for x
x = 7,769.41/73.08 - Step 6: Final answer
x = 106.31
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.