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Finding the Fourth Proportional to 109.54, 150.96 and 106.84

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Solution

The fourth proportional to 109.54, 150.96 and 106.84 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 150.96 = 106.84 : x
  2. Step 2: Convert to fraction form
    109.54/150.96 = 106.84/x
  3. Step 3: Cross multiply
    109.54x = 150.96 × 106.84
  4. Step 4: Simplify right side
    109.54x = 16,128.57
  5. Step 5: Solve for x
    x = 16,128.57/109.54
  6. Step 6: Final answer
    x = 147.24

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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.