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Finding the Fourth Proportional to 47.28, 71.26 and 41.34

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Solution

The fourth proportional to 47.28, 71.26 and 41.34 is: 62.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.28 : 71.26 = 41.34 : x
  2. Step 2: Convert to fraction form
    47.28/71.26 = 41.34/x
  3. Step 3: Cross multiply
    47.28x = 71.26 × 41.34
  4. Step 4: Simplify right side
    47.28x = 2,945.89
  5. Step 5: Solve for x
    x = 2,945.89/47.28
  6. Step 6: Final answer
    x = 62.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.