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Finding the Fourth Proportional to 19.59, 27.02 and 14.42

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Solution

The fourth proportional to 19.59, 27.02 and 14.42 is: 19.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.59 : 27.02 = 14.42 : x
  2. Step 2: Convert to fraction form
    19.59/27.02 = 14.42/x
  3. Step 3: Cross multiply
    19.59x = 27.02 × 14.42
  4. Step 4: Simplify right side
    19.59x = 389.53
  5. Step 5: Solve for x
    x = 389.53/19.59
  6. Step 6: Final answer
    x = 19.88

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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.