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Finding the Fourth Proportional to 19.59, 29.39 and 7.42

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Solution

The fourth proportional to 19.59, 29.39 and 7.42 is: 11.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.59 : 29.39 = 7.42 : x
  2. Step 2: Convert to fraction form
    19.59/29.39 = 7.42/x
  3. Step 3: Cross multiply
    19.59x = 29.39 × 7.42
  4. Step 4: Simplify right side
    19.59x = 217.89
  5. Step 5: Solve for x
    x = 217.89/19.59
  6. Step 6: Final answer
    x = 11.12

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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.