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Finding the Fourth Proportional to 47.42, 65.46 and 37.56

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Solution

The fourth proportional to 47.42, 65.46 and 37.56 is: 51.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 65.46 = 37.56 : x
  2. Step 2: Convert to fraction form
    47.42/65.46 = 37.56/x
  3. Step 3: Cross multiply
    47.42x = 65.46 × 37.56
  4. Step 4: Simplify right side
    47.42x = 2,458.68
  5. Step 5: Solve for x
    x = 2,458.68/47.42
  6. Step 6: Final answer
    x = 51.85

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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.