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Finding the Fourth Proportional to 32.03, 47.96 and 25.23

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Solution

The fourth proportional to 32.03, 47.96 and 25.23 is: 37.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.03 : 47.96 = 25.23 : x
  2. Step 2: Convert to fraction form
    32.03/47.96 = 25.23/x
  3. Step 3: Cross multiply
    32.03x = 47.96 × 25.23
  4. Step 4: Simplify right side
    32.03x = 1,209.90
  5. Step 5: Solve for x
    x = 1,209.90/32.03
  6. Step 6: Final answer
    x = 37.78

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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.