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Finding the Fourth Proportional to 109.20, 150.58 and 106.70

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Solution

The fourth proportional to 109.20, 150.58 and 106.70 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 150.58 = 106.70 : x
  2. Step 2: Convert to fraction form
    109.20/150.58 = 106.70/x
  3. Step 3: Cross multiply
    109.20x = 150.58 × 106.70
  4. Step 4: Simplify right side
    109.20x = 16,065.87
  5. Step 5: Solve for x
    x = 16,065.87/109.20
  6. Step 6: Final answer
    x = 147.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.