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Finding the Fourth Proportional to 47.56, 65.62 and 46.92

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Solution

The fourth proportional to 47.56, 65.62 and 46.92 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.56 : 65.62 = 46.92 : x
  2. Step 2: Convert to fraction form
    47.56/65.62 = 46.92/x
  3. Step 3: Cross multiply
    47.56x = 65.62 × 46.92
  4. Step 4: Simplify right side
    47.56x = 3,078.89
  5. Step 5: Solve for x
    x = 3,078.89/47.56
  6. Step 6: Final answer
    x = 64.74

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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.