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Finding the Fourth Proportional to 47.43, 65.42 and 30.84

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Solution

The fourth proportional to 47.43, 65.42 and 30.84 is: 42.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.43 : 65.42 = 30.84 : x
  2. Step 2: Convert to fraction form
    47.43/65.42 = 30.84/x
  3. Step 3: Cross multiply
    47.43x = 65.42 × 30.84
  4. Step 4: Simplify right side
    47.43x = 2,017.55
  5. Step 5: Solve for x
    x = 2,017.55/47.43
  6. Step 6: Final answer
    x = 42.54

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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.