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Finding the Fourth Proportional to 28.71, 39.69 and 23.31

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Solution

The fourth proportional to 28.71, 39.69 and 23.31 is: 32.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.71 : 39.69 = 23.31 : x
  2. Step 2: Convert to fraction form
    28.71/39.69 = 23.31/x
  3. Step 3: Cross multiply
    28.71x = 39.69 × 23.31
  4. Step 4: Simplify right side
    28.71x = 925.17
  5. Step 5: Solve for x
    x = 925.17/28.71
  6. Step 6: Final answer
    x = 32.22

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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.