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Finding the Fourth Proportional to 92.11, 137.04 and 86.64

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Solution

The fourth proportional to 92.11, 137.04 and 86.64 is: 128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 137.04 = 86.64 : x
  2. Step 2: Convert to fraction form
    92.11/137.04 = 86.64/x
  3. Step 3: Cross multiply
    92.11x = 137.04 × 86.64
  4. Step 4: Simplify right side
    92.11x = 11,873.68
  5. Step 5: Solve for x
    x = 11,873.68/92.11
  6. Step 6: Final answer
    x = 128.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.