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Finding the Fourth Proportional to 10.28, 14.18 and 9.42

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Solution

The fourth proportional to 10.28, 14.18 and 9.42 is: 12.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.28 : 14.18 = 9.42 : x
  2. Step 2: Convert to fraction form
    10.28/14.18 = 9.42/x
  3. Step 3: Cross multiply
    10.28x = 14.18 × 9.42
  4. Step 4: Simplify right side
    10.28x = 133.48
  5. Step 5: Solve for x
    x = 133.48/10.28
  6. Step 6: Final answer
    x = 12.99

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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.