Finding the Fourth Proportional to 105.84, 145.98 and 73.08
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Solution
The fourth proportional to 105.84, 145.98 and 73.08 is: 100.80
Step by Step Solution
- Step 1: Write the proportion equation
105.84 : 145.98 = 73.08 : x - Step 2: Convert to fraction form
105.84/145.98 = 73.08/x - Step 3: Cross multiply
105.84x = 145.98 × 73.08 - Step 4: Simplify right side
105.84x = 10,668.22 - Step 5: Solve for x
x = 10,668.22/105.84 - Step 6: Final answer
x = 100.80
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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.