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Finding the Fourth Proportional to 23.92, 32.99 and 14.20

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Solution

The fourth proportional to 23.92, 32.99 and 14.20 is: 19.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.92 : 32.99 = 14.20 : x
  2. Step 2: Convert to fraction form
    23.92/32.99 = 14.20/x
  3. Step 3: Cross multiply
    23.92x = 32.99 × 14.20
  4. Step 4: Simplify right side
    23.92x = 468.30
  5. Step 5: Solve for x
    x = 468.30/23.92
  6. Step 6: Final answer
    x = 19.58

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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.