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Finding the Fourth Proportional to 47.34, 71.04 and 27.09

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Solution

The fourth proportional to 47.34, 71.04 and 27.09 is: 40.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 71.04 = 27.09 : x
  2. Step 2: Convert to fraction form
    47.34/71.04 = 27.09/x
  3. Step 3: Cross multiply
    47.34x = 71.04 × 27.09
  4. Step 4: Simplify right side
    47.34x = 1,924.47
  5. Step 5: Solve for x
    x = 1,924.47/47.34
  6. Step 6: Final answer
    x = 40.65

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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.