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Finding the Fourth Proportional to 39.59, 59.28 and 34.21

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Solution

The fourth proportional to 39.59, 59.28 and 34.21 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 59.28 = 34.21 : x
  2. Step 2: Convert to fraction form
    39.59/59.28 = 34.21/x
  3. Step 3: Cross multiply
    39.59x = 59.28 × 34.21
  4. Step 4: Simplify right side
    39.59x = 2,027.97
  5. Step 5: Solve for x
    x = 2,027.97/39.59
  6. Step 6: Final answer
    x = 51.22

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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.