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Finding the Fourth Proportional to 65.21, 97.61 and 38.14

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Solution

The fourth proportional to 65.21, 97.61 and 38.14 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.21 : 97.61 = 38.14 : x
  2. Step 2: Convert to fraction form
    65.21/97.61 = 38.14/x
  3. Step 3: Cross multiply
    65.21x = 97.61 × 38.14
  4. Step 4: Simplify right side
    65.21x = 3,722.41
  5. Step 5: Solve for x
    x = 3,722.41/65.21
  6. Step 6: Final answer
    x = 57.09

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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.