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Finding the Fourth Proportional to 133.65, 200.41 and 51.32

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Solution

The fourth proportional to 133.65, 200.41 and 51.32 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.65 : 200.41 = 51.32 : x
  2. Step 2: Convert to fraction form
    133.65/200.41 = 51.32/x
  3. Step 3: Cross multiply
    133.65x = 200.41 × 51.32
  4. Step 4: Simplify right side
    133.65x = 10,285.41
  5. Step 5: Solve for x
    x = 10,285.41/133.65
  6. Step 6: Final answer
    x = 76.96

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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.