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Finding the Fourth Proportional to 9.02, 13.54 and 8.12

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Solution

The fourth proportional to 9.02, 13.54 and 8.12 is: 12.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.02 : 13.54 = 8.12 : x
  2. Step 2: Convert to fraction form
    9.02/13.54 = 8.12/x
  3. Step 3: Cross multiply
    9.02x = 13.54 × 8.12
  4. Step 4: Simplify right side
    9.02x = 109.94
  5. Step 5: Solve for x
    x = 109.94/9.02
  6. Step 6: Final answer
    x = 12.19

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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.