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Finding the Fourth Proportional to 39.96, 59.85 and 31.38

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Solution

The fourth proportional to 39.96, 59.85 and 31.38 is: 46.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.96 : 59.85 = 31.38 : x
  2. Step 2: Convert to fraction form
    39.96/59.85 = 31.38/x
  3. Step 3: Cross multiply
    39.96x = 59.85 × 31.38
  4. Step 4: Simplify right side
    39.96x = 1,878.01
  5. Step 5: Solve for x
    x = 1,878.01/39.96
  6. Step 6: Final answer
    x = 46.99

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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.