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Finding the Fourth Proportional to 10.20, 14.07 and 8.04

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Solution

The fourth proportional to 10.20, 14.07 and 8.04 is: 11.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 14.07 = 8.04 : x
  2. Step 2: Convert to fraction form
    10.20/14.07 = 8.04/x
  3. Step 3: Cross multiply
    10.20x = 14.07 × 8.04
  4. Step 4: Simplify right side
    10.20x = 113.12
  5. Step 5: Solve for x
    x = 113.12/10.20
  6. Step 6: Final answer
    x = 11.09

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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.