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Finding the Fourth Proportional to 63.64, 95.44 and 31.57

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Solution

The fourth proportional to 63.64, 95.44 and 31.57 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.64 : 95.44 = 31.57 : x
  2. Step 2: Convert to fraction form
    63.64/95.44 = 31.57/x
  3. Step 3: Cross multiply
    63.64x = 95.44 × 31.57
  4. Step 4: Simplify right side
    63.64x = 3,013.04
  5. Step 5: Solve for x
    x = 3,013.04/63.64
  6. Step 6: Final answer
    x = 47.35

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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.