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Finding the Fourth Proportional to 133.50, 200.34 and 97.68

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Solution

The fourth proportional to 133.50, 200.34 and 97.68 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 200.34 = 97.68 : x
  2. Step 2: Convert to fraction form
    133.50/200.34 = 97.68/x
  3. Step 3: Cross multiply
    133.50x = 200.34 × 97.68
  4. Step 4: Simplify right side
    133.50x = 19,569.21
  5. Step 5: Solve for x
    x = 19,569.21/133.50
  6. Step 6: Final answer
    x = 146.59

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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.