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Finding the Fourth Proportional to 111.41, 153.86 and 86.61

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Solution

The fourth proportional to 111.41, 153.86 and 86.61 is: 119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.41 : 153.86 = 86.61 : x
  2. Step 2: Convert to fraction form
    111.41/153.86 = 86.61/x
  3. Step 3: Cross multiply
    111.41x = 153.86 × 86.61
  4. Step 4: Simplify right side
    111.41x = 13,326.03
  5. Step 5: Solve for x
    x = 13,326.03/111.41
  6. Step 6: Final answer
    x = 119.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.