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Finding the Fourth Proportional to 47.02, 64.78 and 44.41

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Solution

The fourth proportional to 47.02, 64.78 and 44.41 is: 61.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.78 = 44.41 : x
  2. Step 2: Convert to fraction form
    47.02/64.78 = 44.41/x
  3. Step 3: Cross multiply
    47.02x = 64.78 × 44.41
  4. Step 4: Simplify right side
    47.02x = 2,876.88
  5. Step 5: Solve for x
    x = 2,876.88/47.02
  6. Step 6: Final answer
    x = 61.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.