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Finding the Fourth Proportional to 39.21, 54.07 and 31

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Solution

The fourth proportional to 39.21, 54.07 and 31 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.21 : 54.07 = 31 : x
  2. Step 2: Convert to fraction form
    39.21/54.07 = 31/x
  3. Step 3: Cross multiply
    39.21x = 54.07 × 31
  4. Step 4: Simplify right side
    39.21x = 1,676.17
  5. Step 5: Solve for x
    x = 1,676.17/39.21
  6. Step 6: Final answer
    x = 42.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.