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Finding the Fourth Proportional to 47.41, 71.07 and 23.02

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Solution

The fourth proportional to 47.41, 71.07 and 23.02 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.41 : 71.07 = 23.02 : x
  2. Step 2: Convert to fraction form
    47.41/71.07 = 23.02/x
  3. Step 3: Cross multiply
    47.41x = 71.07 × 23.02
  4. Step 4: Simplify right side
    47.41x = 1,636.03
  5. Step 5: Solve for x
    x = 1,636.03/47.41
  6. Step 6: Final answer
    x = 34.51

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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.