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Finding the Fourth Proportional to 86.68, 131 and 86.68

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Solution

The fourth proportional to 86.68, 131 and 86.68 is: 131

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 131 = 86.68 : x
  2. Step 2: Convert to fraction form
    86.68/131 = 86.68/x
  3. Step 3: Cross multiply
    86.68x = 131 × 86.68
  4. Step 4: Simplify right side
    86.68x = 11,355.08
  5. Step 5: Solve for x
    x = 11,355.08/86.68
  6. Step 6: Final answer
    x = 131

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.