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Finding the Fourth Proportional to 39.22, 58.86 and 23.20

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Solution

The fourth proportional to 39.22, 58.86 and 23.20 is: 34.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.22 : 58.86 = 23.20 : x
  2. Step 2: Convert to fraction form
    39.22/58.86 = 23.20/x
  3. Step 3: Cross multiply
    39.22x = 58.86 × 23.20
  4. Step 4: Simplify right side
    39.22x = 1,365.55
  5. Step 5: Solve for x
    x = 1,365.55/39.22
  6. Step 6: Final answer
    x = 34.82

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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.