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Finding the Fourth Proportional to 133.57, 200.23 and 46.85

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Solution

The fourth proportional to 133.57, 200.23 and 46.85 is: 70.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.57 : 200.23 = 46.85 : x
  2. Step 2: Convert to fraction form
    133.57/200.23 = 46.85/x
  3. Step 3: Cross multiply
    133.57x = 200.23 × 46.85
  4. Step 4: Simplify right side
    133.57x = 9,381.05
  5. Step 5: Solve for x
    x = 9,381.05/133.57
  6. Step 6: Final answer
    x = 70.23

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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.