Finding the Fourth Proportional to 77.49, 106.99 and 52.99
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Solution
The fourth proportional to 77.49, 106.99 and 52.99 is: 73.16
Step by Step Solution
- Step 1: Write the proportion equation
77.49 : 106.99 = 52.99 : x - Step 2: Convert to fraction form
77.49/106.99 = 52.99/x - Step 3: Cross multiply
77.49x = 106.99 × 52.99 - Step 4: Simplify right side
77.49x = 5,669.00 - Step 5: Solve for x
x = 5,669.00/77.49 - Step 6: Final answer
x = 73.16
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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.