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Finding the Fourth Proportional to 10.28, 14.06 and 10.10

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Solution

The fourth proportional to 10.28, 14.06 and 10.10 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.28 : 14.06 = 10.10 : x
  2. Step 2: Convert to fraction form
    10.28/14.06 = 10.10/x
  3. Step 3: Cross multiply
    10.28x = 14.06 × 10.10
  4. Step 4: Simplify right side
    10.28x = 142.01
  5. Step 5: Solve for x
    x = 142.01/10.28
  6. Step 6: Final answer
    x = 13.82

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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.