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Finding the Fourth Proportional to 23.76, 35.64 and 9.12

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Solution

The fourth proportional to 23.76, 35.64 and 9.12 is: 13.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 35.64 = 9.12 : x
  2. Step 2: Convert to fraction form
    23.76/35.64 = 9.12/x
  3. Step 3: Cross multiply
    23.76x = 35.64 × 9.12
  4. Step 4: Simplify right side
    23.76x = 324.99
  5. Step 5: Solve for x
    x = 324.99/23.76
  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.