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Finding the Fourth Proportional to 14.38, 21.49 and 13.60

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Solution

The fourth proportional to 14.38, 21.49 and 13.60 is: 20.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.38 : 21.49 = 13.60 : x
  2. Step 2: Convert to fraction form
    14.38/21.49 = 13.60/x
  3. Step 3: Cross multiply
    14.38x = 21.49 × 13.60
  4. Step 4: Simplify right side
    14.38x = 292.26
  5. Step 5: Solve for x
    x = 292.26/14.38
  6. Step 6: Final answer
    x = 20.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.