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Finding the Fourth Proportional to 14.67, 22.09 and 13.08

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Solution

The fourth proportional to 14.67, 22.09 and 13.08 is: 19.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 22.09 = 13.08 : x
  2. Step 2: Convert to fraction form
    14.67/22.09 = 13.08/x
  3. Step 3: Cross multiply
    14.67x = 22.09 × 13.08
  4. Step 4: Simplify right side
    14.67x = 288.90
  5. Step 5: Solve for x
    x = 288.90/14.67
  6. Step 6: Final answer
    x = 19.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.