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Finding the Fourth Proportional to 47.96, 66.12 and 38.78

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Solution

The fourth proportional to 47.96, 66.12 and 38.78 is: 53.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.96 : 66.12 = 38.78 : x
  2. Step 2: Convert to fraction form
    47.96/66.12 = 38.78/x
  3. Step 3: Cross multiply
    47.96x = 66.12 × 38.78
  4. Step 4: Simplify right side
    47.96x = 2,564.13
  5. Step 5: Solve for x
    x = 2,564.13/47.96
  6. Step 6: Final answer
    x = 53.46

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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.