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Finding the Fourth Proportional to 12.16, 18.24 and 9.88

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Solution

The fourth proportional to 12.16, 18.24 and 9.88 is: 14.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.16 : 18.24 = 9.88 : x
  2. Step 2: Convert to fraction form
    12.16/18.24 = 9.88/x
  3. Step 3: Cross multiply
    12.16x = 18.24 × 9.88
  4. Step 4: Simplify right side
    12.16x = 180.21
  5. Step 5: Solve for x
    x = 180.21/12.16
  6. Step 6: Final answer
    x = 14.82

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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.