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Finding the Fourth Proportional to 39.09, 53.91 and 31.80

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Solution

The fourth proportional to 39.09, 53.91 and 31.80 is: 43.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.09 : 53.91 = 31.80 : x
  2. Step 2: Convert to fraction form
    39.09/53.91 = 31.80/x
  3. Step 3: Cross multiply
    39.09x = 53.91 × 31.80
  4. Step 4: Simplify right side
    39.09x = 1,714.34
  5. Step 5: Solve for x
    x = 1,714.34/39.09
  6. Step 6: Final answer
    x = 43.86

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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.