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Finding the Fourth Proportional to 14.53, 20.04 and 9.68

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Solution

The fourth proportional to 14.53, 20.04 and 9.68 is: 13.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.53 : 20.04 = 9.68 : x
  2. Step 2: Convert to fraction form
    14.53/20.04 = 9.68/x
  3. Step 3: Cross multiply
    14.53x = 20.04 × 9.68
  4. Step 4: Simplify right side
    14.53x = 193.89
  5. Step 5: Solve for x
    x = 193.89/14.53
  6. Step 6: Final answer
    x = 13.35

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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.