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Finding the Fourth Proportional to 155.41, 233.31 and 94.66

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Solution

The fourth proportional to 155.41, 233.31 and 94.66 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.41 : 233.31 = 94.66 : x
  2. Step 2: Convert to fraction form
    155.41/233.31 = 94.66/x
  3. Step 3: Cross multiply
    155.41x = 233.31 × 94.66
  4. Step 4: Simplify right side
    155.41x = 22,085.12
  5. Step 5: Solve for x
    x = 22,085.12/155.41
  6. Step 6: Final answer
    x = 142.11

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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.