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Finding the Fourth Proportional to 47.35, 70.96 and 24.54

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Solution

The fourth proportional to 47.35, 70.96 and 24.54 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.35 : 70.96 = 24.54 : x
  2. Step 2: Convert to fraction form
    47.35/70.96 = 24.54/x
  3. Step 3: Cross multiply
    47.35x = 70.96 × 24.54
  4. Step 4: Simplify right side
    47.35x = 1,741.30
  5. Step 5: Solve for x
    x = 1,741.30/47.35
  6. Step 6: Final answer
    x = 36.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.