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Finding the Fourth Proportional to 10.14, 13.98 and 9.91

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Solution

The fourth proportional to 10.14, 13.98 and 9.91 is: 13.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 13.98 = 9.91 : x
  2. Step 2: Convert to fraction form
    10.14/13.98 = 9.91/x
  3. Step 3: Cross multiply
    10.14x = 13.98 × 9.91
  4. Step 4: Simplify right side
    10.14x = 138.54
  5. Step 5: Solve for x
    x = 138.54/10.14
  6. Step 6: Final answer
    x = 13.66

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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.