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Finding the Fourth Proportional to 10.45, 14.33 and 9.64

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Solution

The fourth proportional to 10.45, 14.33 and 9.64 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.45 : 14.33 = 9.64 : x
  2. Step 2: Convert to fraction form
    10.45/14.33 = 9.64/x
  3. Step 3: Cross multiply
    10.45x = 14.33 × 9.64
  4. Step 4: Simplify right side
    10.45x = 138.14
  5. Step 5: Solve for x
    x = 138.14/10.45
  6. Step 6: Final answer
    x = 13.22

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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.