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Finding the Fourth Proportional to 92.21, 138.98 and 87.83

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Solution

The fourth proportional to 92.21, 138.98 and 87.83 is: 132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.21 : 138.98 = 87.83 : x
  2. Step 2: Convert to fraction form
    92.21/138.98 = 87.83/x
  3. Step 3: Cross multiply
    92.21x = 138.98 × 87.83
  4. Step 4: Simplify right side
    92.21x = 12,205.48
  5. Step 5: Solve for x
    x = 12,205.48/92.21
  6. Step 6: Final answer
    x = 132.37

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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.