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Finding the Fourth Proportional to 63.97, 95.93 and 23.38

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Solution

The fourth proportional to 63.97, 95.93 and 23.38 is: 35.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.97 : 95.93 = 23.38 : x
  2. Step 2: Convert to fraction form
    63.97/95.93 = 23.38/x
  3. Step 3: Cross multiply
    63.97x = 95.93 × 23.38
  4. Step 4: Simplify right side
    63.97x = 2,242.90
  5. Step 5: Solve for x
    x = 2,242.90/63.97
  6. Step 6: Final answer
    x = 35.06

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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.