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Finding the Fourth Proportional to 92.55, 137.96 and 86.68

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Solution

The fourth proportional to 92.55, 137.96 and 86.68 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.55 : 137.96 = 86.68 : x
  2. Step 2: Convert to fraction form
    92.55/137.96 = 86.68/x
  3. Step 3: Cross multiply
    92.55x = 137.96 × 86.68
  4. Step 4: Simplify right side
    92.55x = 11,958.44
  5. Step 5: Solve for x
    x = 11,958.44/92.55
  6. Step 6: Final answer
    x = 129.21

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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.