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Finding the Fourth Proportional to 133.77, 200.54 and 97.09

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Solution

The fourth proportional to 133.77, 200.54 and 97.09 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 200.54 = 97.09 : x
  2. Step 2: Convert to fraction form
    133.77/200.54 = 97.09/x
  3. Step 3: Cross multiply
    133.77x = 200.54 × 97.09
  4. Step 4: Simplify right side
    133.77x = 19,471.17
  5. Step 5: Solve for x
    x = 19,471.17/133.77
  6. Step 6: Final answer
    x = 145.56

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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.