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Finding the Fourth Proportional to 47.60, 71.35 and 23.21

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Solution

The fourth proportional to 47.60, 71.35 and 23.21 is: 34.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.60 : 71.35 = 23.21 : x
  2. Step 2: Convert to fraction form
    47.60/71.35 = 23.21/x
  3. Step 3: Cross multiply
    47.60x = 71.35 × 23.21
  4. Step 4: Simplify right side
    47.60x = 1,655.62
  5. Step 5: Solve for x
    x = 1,655.62/47.60
  6. Step 6: Final answer
    x = 34.79

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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.