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Finding the Fourth Proportional to 59.32, 81.97 and 47.64

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Solution

The fourth proportional to 59.32, 81.97 and 47.64 is: 65.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.32 : 81.97 = 47.64 : x
  2. Step 2: Convert to fraction form
    59.32/81.97 = 47.64/x
  3. Step 3: Cross multiply
    59.32x = 81.97 × 47.64
  4. Step 4: Simplify right side
    59.32x = 3,905.05
  5. Step 5: Solve for x
    x = 3,905.05/59.32
  6. Step 6: Final answer
    x = 65.83

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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.