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Finding the Fourth Proportional to 23.72, 32.74 and 14.02

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Solution

The fourth proportional to 23.72, 32.74 and 14.02 is: 19.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 32.74 = 14.02 : x
  2. Step 2: Convert to fraction form
    23.72/32.74 = 14.02/x
  3. Step 3: Cross multiply
    23.72x = 32.74 × 14.02
  4. Step 4: Simplify right side
    23.72x = 458.90
  5. Step 5: Solve for x
    x = 458.90/23.72
  6. Step 6: Final answer
    x = 19.34

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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.