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Finding the Fourth Proportional to 31.33, 47.02 and 16.88

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Solution

The fourth proportional to 31.33, 47.02 and 16.88 is: 25.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.33 : 47.02 = 16.88 : x
  2. Step 2: Convert to fraction form
    31.33/47.02 = 16.88/x
  3. Step 3: Cross multiply
    31.33x = 47.02 × 16.88
  4. Step 4: Simplify right side
    31.33x = 793.66
  5. Step 5: Solve for x
    x = 793.66/31.33
  6. Step 6: Final answer
    x = 25.33

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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.