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Finding the Fourth Proportional to 109.08, 149.28 and 105.96

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Solution

The fourth proportional to 109.08, 149.28 and 105.96 is: 145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.08 : 149.28 = 105.96 : x
  2. Step 2: Convert to fraction form
    109.08/149.28 = 105.96/x
  3. Step 3: Cross multiply
    109.08x = 149.28 × 105.96
  4. Step 4: Simplify right side
    109.08x = 15,817.71
  5. Step 5: Solve for x
    x = 15,817.71/109.08
  6. Step 6: Final answer
    x = 145.01

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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.