Finding the Fourth Proportional to 109.99, 164.99 and 49.10
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Solution
The fourth proportional to 109.99, 164.99 and 49.10 is: 73.66
Step by Step Solution
- Step 1: Write the proportion equation
109.99 : 164.99 = 49.10 : x - Step 2: Convert to fraction form
109.99/164.99 = 49.10/x - Step 3: Cross multiply
109.99x = 164.99 × 49.10 - Step 4: Simplify right side
109.99x = 8,101.54 - Step 5: Solve for x
x = 8,101.54/109.99 - Step 6: Final answer
x = 73.66
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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.