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Finding the Fourth Proportional to 104.69, 144.78 and 93.77

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Solution

The fourth proportional to 104.69, 144.78 and 93.77 is: 129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 144.78 = 93.77 : x
  2. Step 2: Convert to fraction form
    104.69/144.78 = 93.77/x
  3. Step 3: Cross multiply
    104.69x = 144.78 × 93.77
  4. Step 4: Simplify right side
    104.69x = 13,576.02
  5. Step 5: Solve for x
    x = 13,576.02/104.69
  6. Step 6: Final answer
    x = 129.68

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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.