Finding the Fourth Proportional to 105.10, 157.46 and 88.09
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Solution
The fourth proportional to 105.10, 157.46 and 88.09 is: 131.97
Step by Step Solution
- Step 1: Write the proportion equation
105.10 : 157.46 = 88.09 : x - Step 2: Convert to fraction form
105.10/157.46 = 88.09/x - Step 3: Cross multiply
105.10x = 157.46 × 88.09 - Step 4: Simplify right side
105.10x = 13,870.21 - Step 5: Solve for x
x = 13,870.21/105.10 - Step 6: Final answer
x = 131.97
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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.