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Finding the Fourth Proportional to 133.02, 183.14 and 105.24

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Solution

The fourth proportional to 133.02, 183.14 and 105.24 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 183.14 = 105.24 : x
  2. Step 2: Convert to fraction form
    133.02/183.14 = 105.24/x
  3. Step 3: Cross multiply
    133.02x = 183.14 × 105.24
  4. Step 4: Simplify right side
    133.02x = 19,273.13
  5. Step 5: Solve for x
    x = 19,273.13/133.02
  6. Step 6: Final answer
    x = 144.89

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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.