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Finding the Fourth Proportional to 133.64, 200.45 and 42.33

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Solution

The fourth proportional to 133.64, 200.45 and 42.33 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.64 : 200.45 = 42.33 : x
  2. Step 2: Convert to fraction form
    133.64/200.45 = 42.33/x
  3. Step 3: Cross multiply
    133.64x = 200.45 × 42.33
  4. Step 4: Simplify right side
    133.64x = 8,484.84
  5. Step 5: Solve for x
    x = 8,484.84/133.64
  6. Step 6: Final answer
    x = 63.49

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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.