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Finding the Fourth Proportional to 133.60, 200.24 and 103.18

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Solution

The fourth proportional to 133.60, 200.24 and 103.18 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.60 : 200.24 = 103.18 : x
  2. Step 2: Convert to fraction form
    133.60/200.24 = 103.18/x
  3. Step 3: Cross multiply
    133.60x = 200.24 × 103.18
  4. Step 4: Simplify right side
    133.60x = 20,659.76
  5. Step 5: Solve for x
    x = 20,659.76/133.60
  6. Step 6: Final answer
    x = 154.64

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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.