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Finding the Fourth Proportional to 132.85, 198.93 and 92.14

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Solution

The fourth proportional to 132.85, 198.93 and 92.14 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.85 : 198.93 = 92.14 : x
  2. Step 2: Convert to fraction form
    132.85/198.93 = 92.14/x
  3. Step 3: Cross multiply
    132.85x = 198.93 × 92.14
  4. Step 4: Simplify right side
    132.85x = 18,329.41
  5. Step 5: Solve for x
    x = 18,329.41/132.85
  6. Step 6: Final answer
    x = 137.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.