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Finding the Fourth Proportional to 133.36, 183.85 and 97.88

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Solution

The fourth proportional to 133.36, 183.85 and 97.88 is: 134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 183.85 = 97.88 : x
  2. Step 2: Convert to fraction form
    133.36/183.85 = 97.88/x
  3. Step 3: Cross multiply
    133.36x = 183.85 × 97.88
  4. Step 4: Simplify right side
    133.36x = 17,995.24
  5. Step 5: Solve for x
    x = 17,995.24/133.36
  6. Step 6: Final answer
    x = 134.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.