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Finding the Fourth Proportional to 47.12, 65.07 and 30.78

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Solution

The fourth proportional to 47.12, 65.07 and 30.78 is: 42.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.12 : 65.07 = 30.78 : x
  2. Step 2: Convert to fraction form
    47.12/65.07 = 30.78/x
  3. Step 3: Cross multiply
    47.12x = 65.07 × 30.78
  4. Step 4: Simplify right side
    47.12x = 2,002.85
  5. Step 5: Solve for x
    x = 2,002.85/47.12
  6. Step 6: Final answer
    x = 42.51

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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.