Finding the Fourth Proportional to 105.42, 145.17 and 88.98
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Solution
The fourth proportional to 105.42, 145.17 and 88.98 is: 122.53
Step by Step Solution
- Step 1: Write the proportion equation
105.42 : 145.17 = 88.98 : x - Step 2: Convert to fraction form
105.42/145.17 = 88.98/x - Step 3: Cross multiply
105.42x = 145.17 × 88.98 - Step 4: Simplify right side
105.42x = 12,917.23 - Step 5: Solve for x
x = 12,917.23/105.42 - Step 6: Final answer
x = 122.53
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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.