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Finding the Fourth Proportional to 47.92, 71.91 and 26.26

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Solution

The fourth proportional to 47.92, 71.91 and 26.26 is: 39.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 71.91 = 26.26 : x
  2. Step 2: Convert to fraction form
    47.92/71.91 = 26.26/x
  3. Step 3: Cross multiply
    47.92x = 71.91 × 26.26
  4. Step 4: Simplify right side
    47.92x = 1,887.87
  5. Step 5: Solve for x
    x = 1,887.87/47.92
  6. Step 6: Final answer
    x = 39.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.