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Finding the Fourth Proportional to 109.11, 149.22 and 109.11

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Solution

The fourth proportional to 109.11, 149.22 and 109.11 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 149.22 = 109.11 : x
  2. Step 2: Convert to fraction form
    109.11/149.22 = 109.11/x
  3. Step 3: Cross multiply
    109.11x = 149.22 × 109.11
  4. Step 4: Simplify right side
    109.11x = 16,281.95
  5. Step 5: Solve for x
    x = 16,281.95/109.11
  6. Step 6: Final answer
    x = 149.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.