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Finding the Fourth Proportional to 39.38, 58.99 and 30.77

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Solution

The fourth proportional to 39.38, 58.99 and 30.77 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.38 : 58.99 = 30.77 : x
  2. Step 2: Convert to fraction form
    39.38/58.99 = 30.77/x
  3. Step 3: Cross multiply
    39.38x = 58.99 × 30.77
  4. Step 4: Simplify right side
    39.38x = 1,814.97
  5. Step 5: Solve for x
    x = 1,814.97/39.38
  6. Step 6: Final answer
    x = 46.09

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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.