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Finding the Fourth Proportional to 19.59, 29.39 and 10.59

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Solution

The fourth proportional to 19.59, 29.39 and 10.59 is: 15.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.59 : 29.39 = 10.59 : x
  2. Step 2: Convert to fraction form
    19.59/29.39 = 10.59/x
  3. Step 3: Cross multiply
    19.59x = 29.39 × 10.59
  4. Step 4: Simplify right side
    19.59x = 311.30
  5. Step 5: Solve for x
    x = 311.30/19.59
  6. Step 6: Final answer
    x = 15.89

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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.