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Finding the Fourth Proportional to 69.14, 103.77 and 38.77

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Solution

The fourth proportional to 69.14, 103.77 and 38.77 is: 58.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 103.77 = 38.77 : x
  2. Step 2: Convert to fraction form
    69.14/103.77 = 38.77/x
  3. Step 3: Cross multiply
    69.14x = 103.77 × 38.77
  4. Step 4: Simplify right side
    69.14x = 4,023.16
  5. Step 5: Solve for x
    x = 4,023.16/69.14
  6. Step 6: Final answer
    x = 58.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.