Finding the Fourth Proportional to 106.99, 160.34 and 49.19
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Solution
The fourth proportional to 106.99, 160.34 and 49.19 is: 73.71
Step by Step Solution
- Step 1: Write the proportion equation
106.99 : 160.34 = 49.19 : x - Step 2: Convert to fraction form
106.99/160.34 = 49.19/x - Step 3: Cross multiply
106.99x = 160.34 × 49.19 - Step 4: Simplify right side
106.99x = 7,886.08 - Step 5: Solve for x
x = 7,886.08/106.99 - Step 6: Final answer
x = 73.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.