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Finding the Fourth Proportional to 133.20, 200.64 and 124.56

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Solution

The fourth proportional to 133.20, 200.64 and 124.56 is: 187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.20 : 200.64 = 124.56 : x
  2. Step 2: Convert to fraction form
    133.20/200.64 = 124.56/x
  3. Step 3: Cross multiply
    133.20x = 200.64 × 124.56
  4. Step 4: Simplify right side
    133.20x = 24,991.72
  5. Step 5: Solve for x
    x = 24,991.72/133.20
  6. Step 6: Final answer
    x = 187.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.