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Finding the Fourth Proportional to 63.83, 95.61 and 46.64

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Solution

The fourth proportional to 63.83, 95.61 and 46.64 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.83 : 95.61 = 46.64 : x
  2. Step 2: Convert to fraction form
    63.83/95.61 = 46.64/x
  3. Step 3: Cross multiply
    63.83x = 95.61 × 46.64
  4. Step 4: Simplify right side
    63.83x = 4,459.25
  5. Step 5: Solve for x
    x = 4,459.25/63.83
  6. Step 6: Final answer
    x = 69.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.