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Finding the Fourth Proportional to 47.37, 71.02 and 18.47

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Solution

The fourth proportional to 47.37, 71.02 and 18.47 is: 27.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.37 : 71.02 = 18.47 : x
  2. Step 2: Convert to fraction form
    47.37/71.02 = 18.47/x
  3. Step 3: Cross multiply
    47.37x = 71.02 × 18.47
  4. Step 4: Simplify right side
    47.37x = 1,311.74
  5. Step 5: Solve for x
    x = 1,311.74/47.37
  6. Step 6: Final answer
    x = 27.69

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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.