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Finding the Fourth Proportional to 155.14, 232.89 and 63.91

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Solution

The fourth proportional to 155.14, 232.89 and 63.91 is: 95.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 232.89 = 63.91 : x
  2. Step 2: Convert to fraction form
    155.14/232.89 = 63.91/x
  3. Step 3: Cross multiply
    155.14x = 232.89 × 63.91
  4. Step 4: Simplify right side
    155.14x = 14,884.00
  5. Step 5: Solve for x
    x = 14,884.00/155.14
  6. Step 6: Final answer
    x = 95.94

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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.