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Finding the Fourth Proportional to 133.80, 200.56 and 56.82

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Solution

The fourth proportional to 133.80, 200.56 and 56.82 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 200.56 = 56.82 : x
  2. Step 2: Convert to fraction form
    133.80/200.56 = 56.82/x
  3. Step 3: Cross multiply
    133.80x = 200.56 × 56.82
  4. Step 4: Simplify right side
    133.80x = 11,395.41
  5. Step 5: Solve for x
    x = 11,395.41/133.80
  6. Step 6: Final answer
    x = 85.17

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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.