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Finding the Fourth Proportional to 11.14, 15.34 and 9.70

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Solution

The fourth proportional to 11.14, 15.34 and 9.70 is: 13.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 15.34 = 9.70 : x
  2. Step 2: Convert to fraction form
    11.14/15.34 = 9.70/x
  3. Step 3: Cross multiply
    11.14x = 15.34 × 9.70
  4. Step 4: Simplify right side
    11.14x = 148.80
  5. Step 5: Solve for x
    x = 148.80/11.14
  6. Step 6: Final answer
    x = 13.36

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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.