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Finding the Fourth Proportional to 14.92, 22.36 and 13.84

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Solution

The fourth proportional to 14.92, 22.36 and 13.84 is: 20.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.92 : 22.36 = 13.84 : x
  2. Step 2: Convert to fraction form
    14.92/22.36 = 13.84/x
  3. Step 3: Cross multiply
    14.92x = 22.36 × 13.84
  4. Step 4: Simplify right side
    14.92x = 309.46
  5. Step 5: Solve for x
    x = 309.46/14.92
  6. Step 6: Final answer
    x = 20.74

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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.