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Finding the Fourth Proportional to 13.14, 19.68 and 9.57

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Solution

The fourth proportional to 13.14, 19.68 and 9.57 is: 14.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 19.68 = 9.57 : x
  2. Step 2: Convert to fraction form
    13.14/19.68 = 9.57/x
  3. Step 3: Cross multiply
    13.14x = 19.68 × 9.57
  4. Step 4: Simplify right side
    13.14x = 188.34
  5. Step 5: Solve for x
    x = 188.34/13.14
  6. Step 6: Final answer
    x = 14.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.