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Finding the Fourth Proportional to 14.62, 19.92 and 14.52

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Solution

The fourth proportional to 14.62, 19.92 and 14.52 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.62 : 19.92 = 14.52 : x
  2. Step 2: Convert to fraction form
    14.62/19.92 = 14.52/x
  3. Step 3: Cross multiply
    14.62x = 19.92 × 14.52
  4. Step 4: Simplify right side
    14.62x = 289.24
  5. Step 5: Solve for x
    x = 289.24/14.62
  6. Step 6: Final answer
    x = 19.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.