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Finding the Fourth Proportional to 10.08, 13.84 and 9.84

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Solution

The fourth proportional to 10.08, 13.84 and 9.84 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.08 : 13.84 = 9.84 : x
  2. Step 2: Convert to fraction form
    10.08/13.84 = 9.84/x
  3. Step 3: Cross multiply
    10.08x = 13.84 × 9.84
  4. Step 4: Simplify right side
    10.08x = 136.19
  5. Step 5: Solve for x
    x = 136.19/10.08
  6. Step 6: Final answer
    x = 13.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.