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Finding the Fourth Proportional to 133.14, 183.78 and 77.90

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Solution

The fourth proportional to 133.14, 183.78 and 77.90 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.14 : 183.78 = 77.90 : x
  2. Step 2: Convert to fraction form
    133.14/183.78 = 77.90/x
  3. Step 3: Cross multiply
    133.14x = 183.78 × 77.90
  4. Step 4: Simplify right side
    133.14x = 14,315.54
  5. Step 5: Solve for x
    x = 14,315.54/133.14
  6. Step 6: Final answer
    x = 107.52

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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.