Finding the Fourth Proportional to 132.23, 182.51 and 76.99
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Solution
The fourth proportional to 132.23, 182.51 and 76.99 is: 106.27
Step by Step Solution
- Step 1: Write the proportion equation
132.23 : 182.51 = 76.99 : x - Step 2: Convert to fraction form
132.23/182.51 = 76.99/x - Step 3: Cross multiply
132.23x = 182.51 × 76.99 - Step 4: Simplify right side
132.23x = 14,051.44 - Step 5: Solve for x
x = 14,051.44/132.23 - Step 6: Final answer
x = 106.27
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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.