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Finding the Fourth Proportional to 14.38, 19.78 and 14.02

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Solution

The fourth proportional to 14.38, 19.78 and 14.02 is: 19.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.38 : 19.78 = 14.02 : x
  2. Step 2: Convert to fraction form
    14.38/19.78 = 14.02/x
  3. Step 3: Cross multiply
    14.38x = 19.78 × 14.02
  4. Step 4: Simplify right side
    14.38x = 277.32
  5. Step 5: Solve for x
    x = 277.32/14.38
  6. Step 6: Final answer
    x = 19.28

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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.