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Finding the Fourth Proportional to 155.66, 232.92 and 94.61

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Solution

The fourth proportional to 155.66, 232.92 and 94.61 is: 141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 232.92 = 94.61 : x
  2. Step 2: Convert to fraction form
    155.66/232.92 = 94.61/x
  3. Step 3: Cross multiply
    155.66x = 232.92 × 94.61
  4. Step 4: Simplify right side
    155.66x = 22,035.40
  5. Step 5: Solve for x
    x = 22,035.40/155.66
  6. Step 6: Final answer
    x = 141.57

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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.