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Finding the Fourth Proportional to 14.76, 20.38 and 9.30

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Solution

The fourth proportional to 14.76, 20.38 and 9.30 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.76 : 20.38 = 9.30 : x
  2. Step 2: Convert to fraction form
    14.76/20.38 = 9.30/x
  3. Step 3: Cross multiply
    14.76x = 20.38 × 9.30
  4. Step 4: Simplify right side
    14.76x = 189.53
  5. Step 5: Solve for x
    x = 189.53/14.76
  6. Step 6: Final answer
    x = 12.84

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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.