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Finding the Fourth Proportional to 133.11, 183.04 and 106.55

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Solution

The fourth proportional to 133.11, 183.04 and 106.55 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.11 : 183.04 = 106.55 : x
  2. Step 2: Convert to fraction form
    133.11/183.04 = 106.55/x
  3. Step 3: Cross multiply
    133.11x = 183.04 × 106.55
  4. Step 4: Simplify right side
    133.11x = 19,502.00
  5. Step 5: Solve for x
    x = 19,502.00/133.11
  6. Step 6: Final answer
    x = 146.52

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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.