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Finding the Fourth Proportional to 47.42, 71.06 and 24.62

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Solution

The fourth proportional to 47.42, 71.06 and 24.62 is: 36.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 71.06 = 24.62 : x
  2. Step 2: Convert to fraction form
    47.42/71.06 = 24.62/x
  3. Step 3: Cross multiply
    47.42x = 71.06 × 24.62
  4. Step 4: Simplify right side
    47.42x = 1,749.50
  5. Step 5: Solve for x
    x = 1,749.50/47.42
  6. Step 6: Final answer
    x = 36.89

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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.