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Finding the Fourth Proportional to 133.32, 199.97 and 42.02

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Solution

The fourth proportional to 133.32, 199.97 and 42.02 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.32 : 199.97 = 42.02 : x
  2. Step 2: Convert to fraction form
    133.32/199.97 = 42.02/x
  3. Step 3: Cross multiply
    133.32x = 199.97 × 42.02
  4. Step 4: Simplify right side
    133.32x = 8,401.53
  5. Step 5: Solve for x
    x = 8,401.53/133.32
  6. Step 6: Final answer
    x = 63.02

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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.