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Finding the Fourth Proportional to 31.71, 47.54 and 15.68

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Solution

The fourth proportional to 31.71, 47.54 and 15.68 is: 23.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 47.54 = 15.68 : x
  2. Step 2: Convert to fraction form
    31.71/47.54 = 15.68/x
  3. Step 3: Cross multiply
    31.71x = 47.54 × 15.68
  4. Step 4: Simplify right side
    31.71x = 745.31
  5. Step 5: Solve for x
    x = 745.31/31.71
  6. Step 6: Final answer
    x = 23.51

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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.