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Finding the Fourth Proportional to 11.14, 15.30 and 10.46

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Solution

The fourth proportional to 11.14, 15.30 and 10.46 is: 14.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 15.30 = 10.46 : x
  2. Step 2: Convert to fraction form
    11.14/15.30 = 10.46/x
  3. Step 3: Cross multiply
    11.14x = 15.30 × 10.46
  4. Step 4: Simplify right side
    11.14x = 160.04
  5. Step 5: Solve for x
    x = 160.04/11.14
  6. Step 6: Final answer
    x = 14.37

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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.