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Finding the Fourth Proportional to 19.10, 28.67 and 10.09

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Solution

The fourth proportional to 19.10, 28.67 and 10.09 is: 15.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.10 : 28.67 = 10.09 : x
  2. Step 2: Convert to fraction form
    19.10/28.67 = 10.09/x
  3. Step 3: Cross multiply
    19.10x = 28.67 × 10.09
  4. Step 4: Simplify right side
    19.10x = 289.16
  5. Step 5: Solve for x
    x = 289.16/19.10
  6. Step 6: Final answer
    x = 15.14

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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.