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Finding the Fourth Proportional to 39.01, 58.38 and 24.58

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Solution

The fourth proportional to 39.01, 58.38 and 24.58 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.01 : 58.38 = 24.58 : x
  2. Step 2: Convert to fraction form
    39.01/58.38 = 24.58/x
  3. Step 3: Cross multiply
    39.01x = 58.38 × 24.58
  4. Step 4: Simplify right side
    39.01x = 1,434.83
  5. Step 5: Solve for x
    x = 1,434.83/39.01
  6. Step 6: Final answer
    x = 36.78

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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.