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Finding the Fourth Proportional to 13.74, 20.57 and 9.72

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Solution

The fourth proportional to 13.74, 20.57 and 9.72 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.74 : 20.57 = 9.72 : x
  2. Step 2: Convert to fraction form
    13.74/20.57 = 9.72/x
  3. Step 3: Cross multiply
    13.74x = 20.57 × 9.72
  4. Step 4: Simplify right side
    13.74x = 199.89
  5. Step 5: Solve for x
    x = 199.89/13.74
  6. Step 6: Final answer
    x = 14.55

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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.