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Finding the Fourth Proportional to 28.71, 39.60 and 20.07

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Solution

The fourth proportional to 28.71, 39.60 and 20.07 is: 27.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.71 : 39.60 = 20.07 : x
  2. Step 2: Convert to fraction form
    28.71/39.60 = 20.07/x
  3. Step 3: Cross multiply
    28.71x = 39.60 × 20.07
  4. Step 4: Simplify right side
    28.71x = 794.77
  5. Step 5: Solve for x
    x = 794.77/28.71
  6. Step 6: Final answer
    x = 27.68

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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.