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Finding the Fourth Proportional to 149.92, 207.16 and 108.60

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Solution

The fourth proportional to 149.92, 207.16 and 108.60 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 207.16 = 108.60 : x
  2. Step 2: Convert to fraction form
    149.92/207.16 = 108.60/x
  3. Step 3: Cross multiply
    149.92x = 207.16 × 108.60
  4. Step 4: Simplify right side
    149.92x = 22,497.58
  5. Step 5: Solve for x
    x = 22,497.58/149.92
  6. Step 6: Final answer
    x = 150.06

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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.