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Finding the Fourth Proportional to 109.20, 162.97 and 106.48

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Solution

The fourth proportional to 109.20, 162.97 and 106.48 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 162.97 = 106.48 : x
  2. Step 2: Convert to fraction form
    109.20/162.97 = 106.48/x
  3. Step 3: Cross multiply
    109.20x = 162.97 × 106.48
  4. Step 4: Simplify right side
    109.20x = 17,353.05
  5. Step 5: Solve for x
    x = 17,353.05/109.20
  6. Step 6: Final answer
    x = 158.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.