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Finding the Fourth Proportional to 10.34, 14.19 and 9.65

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Solution

The fourth proportional to 10.34, 14.19 and 9.65 is: 13.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.34 : 14.19 = 9.65 : x
  2. Step 2: Convert to fraction form
    10.34/14.19 = 9.65/x
  3. Step 3: Cross multiply
    10.34x = 14.19 × 9.65
  4. Step 4: Simplify right side
    10.34x = 136.86
  5. Step 5: Solve for x
    x = 136.86/10.34
  6. Step 6: Final answer
    x = 13.24

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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.