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Finding the Fourth Proportional to 63.81, 95.65 and 38.14

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Solution

The fourth proportional to 63.81, 95.65 and 38.14 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.81 : 95.65 = 38.14 : x
  2. Step 2: Convert to fraction form
    63.81/95.65 = 38.14/x
  3. Step 3: Cross multiply
    63.81x = 95.65 × 38.14
  4. Step 4: Simplify right side
    63.81x = 3,648.09
  5. Step 5: Solve for x
    x = 3,648.09/63.81
  6. Step 6: Final answer
    x = 57.17

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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.