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Finding the Fourth Proportional to 133.64, 200.41 and 84.95

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Solution

The fourth proportional to 133.64, 200.41 and 84.95 is: 127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.64 : 200.41 = 84.95 : x
  2. Step 2: Convert to fraction form
    133.64/200.41 = 84.95/x
  3. Step 3: Cross multiply
    133.64x = 200.41 × 84.95
  4. Step 4: Simplify right side
    133.64x = 17,024.83
  5. Step 5: Solve for x
    x = 17,024.83/133.64
  6. Step 6: Final answer
    x = 127.39

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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.