Finding the Fourth Proportional to 96.42, 144.58 and 53.08
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Solution
The fourth proportional to 96.42, 144.58 and 53.08 is: 79.59
Step by Step Solution
- Step 1: Write the proportion equation
96.42 : 144.58 = 53.08 : x - Step 2: Convert to fraction form
96.42/144.58 = 53.08/x - Step 3: Cross multiply
96.42x = 144.58 × 53.08 - Step 4: Simplify right side
96.42x = 7,674.31 - Step 5: Solve for x
x = 7,674.31/96.42 - Step 6: Final answer
x = 79.59
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.