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Finding the Fourth Proportional to 133.03, 183.79 and 102.07

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Solution

The fourth proportional to 133.03, 183.79 and 102.07 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 183.79 = 102.07 : x
  2. Step 2: Convert to fraction form
    133.03/183.79 = 102.07/x
  3. Step 3: Cross multiply
    133.03x = 183.79 × 102.07
  4. Step 4: Simplify right side
    133.03x = 18,759.45
  5. Step 5: Solve for x
    x = 18,759.45/133.03
  6. Step 6: Final answer
    x = 141.02

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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.