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Finding the Fourth Proportional to 133.85, 201.20 and 124.34

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Solution

The fourth proportional to 133.85, 201.20 and 124.34 is: 186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.85 : 201.20 = 124.34 : x
  2. Step 2: Convert to fraction form
    133.85/201.20 = 124.34/x
  3. Step 3: Cross multiply
    133.85x = 201.20 × 124.34
  4. Step 4: Simplify right side
    133.85x = 25,015.58
  5. Step 5: Solve for x
    x = 25,015.58/133.85
  6. Step 6: Final answer
    x = 186.90

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