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Finding the Fourth Proportional to 10.14, 14.01 and 9.78

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Solution

The fourth proportional to 10.14, 14.01 and 9.78 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 14.01 = 9.78 : x
  2. Step 2: Convert to fraction form
    10.14/14.01 = 9.78/x
  3. Step 3: Cross multiply
    10.14x = 14.01 × 9.78
  4. Step 4: Simplify right side
    10.14x = 136.97
  5. Step 5: Solve for x
    x = 136.97/10.14
  6. Step 6: Final answer
    x = 13.51

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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.