Finding the Fourth Proportional to 113.84, 157.12 and 76.99
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Solution
The fourth proportional to 113.84, 157.12 and 76.99 is: 106.26
Step by Step Solution
- Step 1: Write the proportion equation
113.84 : 157.12 = 76.99 : x - Step 2: Convert to fraction form
113.84/157.12 = 76.99/x - Step 3: Cross multiply
113.84x = 157.12 × 76.99 - Step 4: Simplify right side
113.84x = 12,095.88 - Step 5: Solve for x
x = 12,095.88/113.84 - Step 6: Final answer
x = 106.26
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.