Finding the Fourth Proportional to 157.11, 235.77 and 116.63
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Solution
The fourth proportional to 157.11, 235.77 and 116.63 is: 175.02
Step by Step Solution
- Step 1: Write the proportion equation
157.11 : 235.77 = 116.63 : x - Step 2: Convert to fraction form
157.11/235.77 = 116.63/x - Step 3: Cross multiply
157.11x = 235.77 × 116.63 - Step 4: Simplify right side
157.11x = 27,497.86 - Step 5: Solve for x
x = 27,497.86/157.11 - Step 6: Final answer
x = 175.02
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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.