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Finding the Fourth Proportional to 14.54, 21.81 and 9.13

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Solution

The fourth proportional to 14.54, 21.81 and 9.13 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.54 : 21.81 = 9.13 : x
  2. Step 2: Convert to fraction form
    14.54/21.81 = 9.13/x
  3. Step 3: Cross multiply
    14.54x = 21.81 × 9.13
  4. Step 4: Simplify right side
    14.54x = 199.02
  5. Step 5: Solve for x
    x = 199.02/14.54
  6. Step 6: Final answer
    x = 13.69

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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.