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Finding the Fourth Proportional to 133.63, 200.33 and 52.46

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Solution

The fourth proportional to 133.63, 200.33 and 52.46 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.63 : 200.33 = 52.46 : x
  2. Step 2: Convert to fraction form
    133.63/200.33 = 52.46/x
  3. Step 3: Cross multiply
    133.63x = 200.33 × 52.46
  4. Step 4: Simplify right side
    133.63x = 10,509.29
  5. Step 5: Solve for x
    x = 10,509.29/133.63
  6. Step 6: Final answer
    x = 78.64

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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.