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Finding the Fourth Proportional to 10.14, 14.06 and 9.84

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Solution

The fourth proportional to 10.14, 14.06 and 9.84 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 14.06 = 9.84 : x
  2. Step 2: Convert to fraction form
    10.14/14.06 = 9.84/x
  3. Step 3: Cross multiply
    10.14x = 14.06 × 9.84
  4. Step 4: Simplify right side
    10.14x = 138.30
  5. Step 5: Solve for x
    x = 138.30/10.14
  6. Step 6: Final answer
    x = 13.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.