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Finding the Fourth Proportional to 39.02, 58.59 and 32.54

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Solution

The fourth proportional to 39.02, 58.59 and 32.54 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 58.59 = 32.54 : x
  2. Step 2: Convert to fraction form
    39.02/58.59 = 32.54/x
  3. Step 3: Cross multiply
    39.02x = 58.59 × 32.54
  4. Step 4: Simplify right side
    39.02x = 1,906.23
  5. Step 5: Solve for x
    x = 1,906.23/39.02
  6. Step 6: Final answer
    x = 48.86

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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.