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Finding the Fourth Proportional to 47.35, 65.31 and 30.98

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Solution

The fourth proportional to 47.35, 65.31 and 30.98 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.35 : 65.31 = 30.98 : x
  2. Step 2: Convert to fraction form
    47.35/65.31 = 30.98/x
  3. Step 3: Cross multiply
    47.35x = 65.31 × 30.98
  4. Step 4: Simplify right side
    47.35x = 2,023.35
  5. Step 5: Solve for x
    x = 2,023.35/47.35
  6. Step 6: Final answer
    x = 42.73

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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.