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Finding the Fourth Proportional to 47.44, 64.56 and 47.20

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Solution

The fourth proportional to 47.44, 64.56 and 47.20 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.44 : 64.56 = 47.20 : x
  2. Step 2: Convert to fraction form
    47.44/64.56 = 47.20/x
  3. Step 3: Cross multiply
    47.44x = 64.56 × 47.20
  4. Step 4: Simplify right side
    47.44x = 3,047.23
  5. Step 5: Solve for x
    x = 3,047.23/47.44
  6. Step 6: Final answer
    x = 64.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.