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Finding the Fourth Proportional to 47.28, 65.21 and 37.56

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Solution

The fourth proportional to 47.28, 65.21 and 37.56 is: 51.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.28 : 65.21 = 37.56 : x
  2. Step 2: Convert to fraction form
    47.28/65.21 = 37.56/x
  3. Step 3: Cross multiply
    47.28x = 65.21 × 37.56
  4. Step 4: Simplify right side
    47.28x = 2,449.10
  5. Step 5: Solve for x
    x = 2,449.10/47.28
  6. Step 6: Final answer
    x = 51.80

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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.