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Finding the Fourth Proportional to 10.04, 13.85 and 6.40

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Solution

The fourth proportional to 10.04, 13.85 and 6.40 is: 8.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.04 : 13.85 = 6.40 : x
  2. Step 2: Convert to fraction form
    10.04/13.85 = 6.40/x
  3. Step 3: Cross multiply
    10.04x = 13.85 × 6.40
  4. Step 4: Simplify right side
    10.04x = 88.65
  5. Step 5: Solve for x
    x = 88.65/10.04
  6. Step 6: Final answer
    x = 8.83

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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.