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Finding the Fourth Proportional to 153.77, 231.83 and 129.89

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Solution

The fourth proportional to 153.77, 231.83 and 129.89 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 231.83 = 129.89 : x
  2. Step 2: Convert to fraction form
    153.77/231.83 = 129.89/x
  3. Step 3: Cross multiply
    153.77x = 231.83 × 129.89
  4. Step 4: Simplify right side
    153.77x = 30,112.40
  5. Step 5: Solve for x
    x = 30,112.40/153.77
  6. Step 6: Final answer
    x = 195.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.