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Finding the Fourth Proportional to 47.64, 71.46 and 26.26

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Solution

The fourth proportional to 47.64, 71.46 and 26.26 is: 39.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 71.46 = 26.26 : x
  2. Step 2: Convert to fraction form
    47.64/71.46 = 26.26/x
  3. Step 3: Cross multiply
    47.64x = 71.46 × 26.26
  4. Step 4: Simplify right side
    47.64x = 1,876.54
  5. Step 5: Solve for x
    x = 1,876.54/47.64
  6. Step 6: Final answer
    x = 39.39

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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.