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Finding the Fourth Proportional to 69.86, 96.39 and 38.77

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Solution

The fourth proportional to 69.86, 96.39 and 38.77 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 96.39 = 38.77 : x
  2. Step 2: Convert to fraction form
    69.86/96.39 = 38.77/x
  3. Step 3: Cross multiply
    69.86x = 96.39 × 38.77
  4. Step 4: Simplify right side
    69.86x = 3,736.80
  5. Step 5: Solve for x
    x = 3,736.80/69.86
  6. Step 6: Final answer
    x = 53.49

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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.