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Finding the Fourth Proportional to 14.78, 22.12 and 9.05

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Solution

The fourth proportional to 14.78, 22.12 and 9.05 is: 13.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 22.12 = 9.05 : x
  2. Step 2: Convert to fraction form
    14.78/22.12 = 9.05/x
  3. Step 3: Cross multiply
    14.78x = 22.12 × 9.05
  4. Step 4: Simplify right side
    14.78x = 200.05
  5. Step 5: Solve for x
    x = 200.05/14.78
  6. Step 6: Final answer
    x = 13.53

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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.