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Finding the Fourth Proportional to 109.38, 164.07 and 47.68

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Solution

The fourth proportional to 109.38, 164.07 and 47.68 is: 71.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 164.07 = 47.68 : x
  2. Step 2: Convert to fraction form
    109.38/164.07 = 47.68/x
  3. Step 3: Cross multiply
    109.38x = 164.07 × 47.68
  4. Step 4: Simplify right side
    109.38x = 7,822.86
  5. Step 5: Solve for x
    x = 7,822.86/109.38
  6. Step 6: Final answer
    x = 71.52

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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.