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Finding the Fourth Proportional to 14.61, 20.16 and 8.14

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Solution

The fourth proportional to 14.61, 20.16 and 8.14 is: 11.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.61 : 20.16 = 8.14 : x
  2. Step 2: Convert to fraction form
    14.61/20.16 = 8.14/x
  3. Step 3: Cross multiply
    14.61x = 20.16 × 8.14
  4. Step 4: Simplify right side
    14.61x = 164.12
  5. Step 5: Solve for x
    x = 164.12/14.61
  6. Step 6: Final answer
    x = 11.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.