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Finding the Fourth Proportional to 103.66, 155.46 and 38.64

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Solution

The fourth proportional to 103.66, 155.46 and 38.64 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 155.46 = 38.64 : x
  2. Step 2: Convert to fraction form
    103.66/155.46 = 38.64/x
  3. Step 3: Cross multiply
    103.66x = 155.46 × 38.64
  4. Step 4: Simplify right side
    103.66x = 6,006.97
  5. Step 5: Solve for x
    x = 6,006.97/103.66
  6. Step 6: Final answer
    x = 57.95

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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.