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Finding the Fourth Proportional to 69.05, 103.66 and 57.77

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Solution

The fourth proportional to 69.05, 103.66 and 57.77 is: 86.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 103.66 = 57.77 : x
  2. Step 2: Convert to fraction form
    69.05/103.66 = 57.77/x
  3. Step 3: Cross multiply
    69.05x = 103.66 × 57.77
  4. Step 4: Simplify right side
    69.05x = 5,988.55
  5. Step 5: Solve for x
    x = 5,988.55/69.05
  6. Step 6: Final answer
    x = 86.73

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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.