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Finding the Fourth Proportional to 14.68, 22.00 and 9.61

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Solution

The fourth proportional to 14.68, 22.00 and 9.61 is: 14.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.68 : 22.00 = 9.61 : x
  2. Step 2: Convert to fraction form
    14.68/22.00 = 9.61/x
  3. Step 3: Cross multiply
    14.68x = 22.00 × 9.61
  4. Step 4: Simplify right side
    14.68x = 211.30
  5. Step 5: Solve for x
    x = 211.30/14.68
  6. Step 6: Final answer
    x = 14.39

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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.