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Finding the Fourth Proportional to 23.38, 35.06 and 9.12

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Solution

The fourth proportional to 23.38, 35.06 and 9.12 is: 13.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.38 : 35.06 = 9.12 : x
  2. Step 2: Convert to fraction form
    23.38/35.06 = 9.12/x
  3. Step 3: Cross multiply
    23.38x = 35.06 × 9.12
  4. Step 4: Simplify right side
    23.38x = 319.75
  5. Step 5: Solve for x
    x = 319.75/23.38
  6. Step 6: Final answer
    x = 13.68

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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.