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Finding the Fourth Proportional to 47.88, 65.97 and 38.16

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Solution

The fourth proportional to 47.88, 65.97 and 38.16 is: 52.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.88 : 65.97 = 38.16 : x
  2. Step 2: Convert to fraction form
    47.88/65.97 = 38.16/x
  3. Step 3: Cross multiply
    47.88x = 65.97 × 38.16
  4. Step 4: Simplify right side
    47.88x = 2,517.42
  5. Step 5: Solve for x
    x = 2,517.42/47.88
  6. Step 6: Final answer
    x = 52.58

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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.